Pub Date : 2026-03-15Epub Date: 2026-01-07DOI: 10.1016/j.wavemoti.2026.103699
Yayu Chen , Tianhang Ma , Weimin Zhang , Kai Wang , Shijun Bi
To address the challenges of low accuracy and poor timeliness in leak detection for high-density polyethylene (HDPE) membranes in a landfill, this paper proposes a novel localization model based on Ultrasonic Lamb waves. The method leverages sparse decomposition theory combined with a particle swarm optimization algorithm for denoising weak reflection signals and accurately estimating energy attenuation parameters. An over-complete dictionary matching the ultrasonic signal structure was constructed to isolate damage-related features from noise. By defining a damage index (DIp) and employing a damage probability imaging algorithm, the model achieves precise leak localization. Experimental results demonstrate that the proposed method significantly enhances the damage index resolution compared to traditional wavelet analysis, with average localization errors of 2.6 mm for single leaks and 6.4 mm for double leaks, representing error reductions of 68.2 % and 54.0 %, respectively.
{"title":"Research on a leakage localization model of HDPE membranes based on ultrasonic principles","authors":"Yayu Chen , Tianhang Ma , Weimin Zhang , Kai Wang , Shijun Bi","doi":"10.1016/j.wavemoti.2026.103699","DOIUrl":"10.1016/j.wavemoti.2026.103699","url":null,"abstract":"<div><div>To address the challenges of low accuracy and poor timeliness in leak detection for high-density polyethylene (HDPE) membranes in a landfill, this paper proposes a novel localization model based on Ultrasonic Lamb waves. The method leverages sparse decomposition theory combined with a particle swarm optimization algorithm for denoising weak reflection signals and accurately estimating energy attenuation parameters. An over-complete dictionary matching the ultrasonic signal structure was constructed to isolate damage-related features from noise. By defining a damage index (<em>DI</em><sub>p</sub>) and employing a damage probability imaging algorithm, the model achieves precise leak localization. Experimental results demonstrate that the proposed method significantly enhances the damage index resolution compared to traditional wavelet analysis, with average localization errors of 2.6 mm for single leaks and 6.4 mm for double leaks, representing error reductions of 68.2 % and 54.0 %, respectively.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103699"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-11-28DOI: 10.1016/j.wavemoti.2025.103687
H.Y. Chen , Q.H. Yang , G.Y. Li , L.F. Fan , M. Wang
A dual-triple combination characteristic line method was proposed to study stress wave propagation through Intact-Defected-Intact (IDI) composite strata. A separated diamond element based on dual-triple combination characteristic lines was introduced to study the stress wave propagation between the intact rock and the defective rock mass. An elastic-viscoelastic combination model was adopted to equivalently study the stress wave propagation through the IDI composite strata. The present method was compared with the traditional method, which employs the elastic models. Subsequently, the stress wave with different incident waveforms (such as half-sinusoidal, rectangular, triangular and explosion shock waves) propagation through IDI composite strata was systematically analyzed. The effect of the incident waveform on the transmission coefficient was discussed. Results indicate that the amplitudes of transmitted waves predicted by the present method were smaller than those obtained by traditional methods. The amplitude of the transmitted wave is largest in the case of the rectangular wave and smallest in the case of the right-triangular wave. The present method efficiently considers the effects of different mechanical properties of various strata on wave propagation with different incident waveforms.
{"title":"A dual-triple combination characteristic line method for stress wave propagation across the Intact-Defected-Intact (IDI) composite strata","authors":"H.Y. Chen , Q.H. Yang , G.Y. Li , L.F. Fan , M. Wang","doi":"10.1016/j.wavemoti.2025.103687","DOIUrl":"10.1016/j.wavemoti.2025.103687","url":null,"abstract":"<div><div>A dual-triple combination characteristic line method was proposed to study stress wave propagation through Intact-Defected-Intact (IDI) composite strata. A separated diamond element based on dual-triple combination characteristic lines was introduced to study the stress wave propagation between the intact rock and the defective rock mass. An elastic-viscoelastic combination model was adopted to equivalently study the stress wave propagation through the IDI composite strata. The present method was compared with the traditional method, which employs the elastic models. Subsequently, the stress wave with different incident waveforms (such as half-sinusoidal, rectangular, triangular and explosion shock waves) propagation through IDI composite strata was systematically analyzed. The effect of the incident waveform on the transmission coefficient was discussed. Results indicate that the amplitudes of transmitted waves predicted by the present method were smaller than those obtained by traditional methods. The amplitude of the transmitted wave is largest in the case of the rectangular wave and smallest in the case of the right-triangular wave. The present method efficiently considers the effects of different mechanical properties of various strata on wave propagation with different incident waveforms.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103687"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-11DOI: 10.1016/j.wavemoti.2025.103692
Taotao Liu , Zhaozhan Zhang , Anshuai Wang , Yongtao Sun , Qian Ding , Zheyang Hong , Zhixia Wang , Zhichang Qin , Yansen Wu
This paper presents a novel multi-meander ligament structure (MMLS) for low-frequency vibration attenuation. Based on Bloch’s theory and the finite element method, the infinite periodic MMLS (unit cell: lattice constant 62 mm, ligament width 1 mm, filling factor 8.3 %; material: Visijet M3 Crystal, E = 1.463 GPa, ν=0.33, ρ=1020 kg/m³) exhibits 8 bandgaps below 500 Hz, with 42.5 % coverage. The first bandgap spans 61.2–81.0 Hz (19.8 Hz width), and the 6th (358.7–447.3 Hz) is the widest (88.6 Hz). Vibration mode analysis reveals torsional resonance of cross-shaped/straight ligaments drives bandgap formation. For finite periodic arrays (9 × 3 unit cells), frequency response calculations show a peak attenuation of −278.93 dB at 425 Hz, with the lowest bandgap (61.2–81.0 Hz) reaching −98.0 dB. Finally, the propagation characteristics of elastic waves in this structure were analyzed from multiple angles, including group velocity and phase velocity. Overall, this structure not only exhibits excellent vibration reduction performance in the low-frequency range but also has the advantages of being lightweight and easy to fabricate. It provides new ideas for the design of locally resonant acoustic metamaterials.
{"title":"Study of low-frequency bandgap and vibration attenuation mechanism of multi-meander ligament structures","authors":"Taotao Liu , Zhaozhan Zhang , Anshuai Wang , Yongtao Sun , Qian Ding , Zheyang Hong , Zhixia Wang , Zhichang Qin , Yansen Wu","doi":"10.1016/j.wavemoti.2025.103692","DOIUrl":"10.1016/j.wavemoti.2025.103692","url":null,"abstract":"<div><div>This paper presents a novel multi-meander ligament structure (MMLS) for low-frequency vibration attenuation. Based on Bloch’s theory and the finite element method, the infinite periodic MMLS (unit cell: lattice constant 62 mm, ligament width 1 mm, filling factor 8.3 %; material: Visijet M3 Crystal, <em>E</em> = 1.463 GPa, ν=0.33, ρ=1020 kg/m³) exhibits 8 bandgaps below 500 Hz, with 42.5 % coverage. The first bandgap spans 61.2–81.0 Hz (19.8 Hz width), and the 6th (358.7–447.3 Hz) is the widest (88.6 Hz). Vibration mode analysis reveals torsional resonance of cross-shaped/straight ligaments drives bandgap formation. For finite periodic arrays (9 × 3 unit cells), frequency response calculations show a peak attenuation of −278.93 dB at 425 Hz, with the lowest bandgap (61.2–81.0 Hz) reaching −98.0 dB. Finally, the propagation characteristics of elastic waves in this structure were analyzed from multiple angles, including group velocity and phase velocity. Overall, this structure not only exhibits excellent vibration reduction performance in the low-frequency range but also has the advantages of being lightweight and easy to fabricate. It provides new ideas for the design of locally resonant acoustic metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103692"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-11DOI: 10.1016/j.wavemoti.2025.103691
Keerthana N, Annapoorani N
Rogue waves, highly localized and transient wave structures of large amplitude, play a critical role in nonlinear dispersive systems such as fluid dynamics, optics, and geophysical flows. This study examines a novel -dimensional nonlinear evolution equation that admits center controlled rogue wave solutions. Integrability is verified using the Painlevé test, confirming the existence of the Painlevé property under suitable parameter constraints. A Cole—Hopf transformation is applied to derive a bilinear form of the equation, enabling the systematic construction of rational rogue wave solutions through polynomial-based auxiliary functions. The resulting first order, second order, and third order solutions display complex localized structures, with their spatial positioning governed by tunable center parameters λ and σ. To establish the physical basis of these solutions, a modulational instability analysis is conducted on a uniform background. The instability spectrum reveals parameter regimes where perturbations grow exponentially, supporting the emergence of rogue waves and confirming consistency with the constructed solution scales. Surface and contour plots are presented to illustrate the spatial complexity and amplification behavior of the solutions. The work introduces a novel framework for center-controlled rogue wave generation, unifying bilinear transformation techniques with spectral stability analysis in a higher-dimensional setting.
{"title":"Rogue wave solutions and modulational instability of a (3+1)-dimensional integrable nonlinear evolution equation","authors":"Keerthana N, Annapoorani N","doi":"10.1016/j.wavemoti.2025.103691","DOIUrl":"10.1016/j.wavemoti.2025.103691","url":null,"abstract":"<div><div>Rogue waves, highly localized and transient wave structures of large amplitude, play a critical role in nonlinear dispersive systems such as fluid dynamics, optics, and geophysical flows. This study examines a novel <span><math><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional nonlinear evolution equation that admits center controlled rogue wave solutions. Integrability is verified using the Painlevé test, confirming the existence of the Painlevé property under suitable parameter constraints. A Cole—Hopf transformation is applied to derive a bilinear form of the equation, enabling the systematic construction of rational rogue wave solutions through polynomial-based auxiliary functions. The resulting first order, second order, and third order solutions display complex localized structures, with their spatial positioning governed by tunable center parameters <em>λ</em> and <em>σ</em>. To establish the physical basis of these solutions, a modulational instability analysis is conducted on a uniform background. The instability spectrum reveals parameter regimes where perturbations grow exponentially, supporting the emergence of rogue waves and confirming consistency with the constructed solution scales. Surface and contour plots are presented to illustrate the spatial complexity and amplification behavior of the solutions. The work introduces a novel framework for center-controlled rogue wave generation, unifying bilinear transformation techniques with spectral stability analysis in a higher-dimensional setting.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103691"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-25DOI: 10.1016/j.wavemoti.2025.103693
Sijie Mao, Maohua Li
The integrable form and diverse exact solutions of the -dimensional generalized extended Kadomtsev-Petviashvili equation are systematically investigated in this paper. Employing Painlevé analysis and the WTC-Kruskal method for the first time, we rigorously confirm the complete integrable form of this equation. By using the Hirota bilinear method, we systematically derive explicit N-soliton solutions and higher-order breather solutions. This foundation facilitates the construction of periodic solutions and novel hybrid states incorporating periodic waves, breather solutions and soliton solutions. Furthermore, asymptotic analysis of N-soliton solutions under the long-wave limit yields spatially localized lump solutions and rogue waves. A significant advancement is the derivation of semi-rational solutions combining lumps, rogue waves, soliton solutions and breather solutions, substantially extending the known solution spectrum for this system. To characterize nonlinear dynamics, we employ three-dimensional visualizations and density plots with contour overlays, clearly elucidating the distinct evolution patterns exhibited by each solution class.
{"title":"New integrable (2+1)-dimensional generalized extended kadomtsev-Petviashvili equation","authors":"Sijie Mao, Maohua Li","doi":"10.1016/j.wavemoti.2025.103693","DOIUrl":"10.1016/j.wavemoti.2025.103693","url":null,"abstract":"<div><div>The integrable form and diverse exact solutions of the <span><math><mrow><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional generalized extended Kadomtsev-Petviashvili equation are systematically investigated in this paper. Employing Painlevé analysis and the WTC-Kruskal method for the first time, we rigorously confirm the complete integrable form of this equation. By using the Hirota bilinear method, we systematically derive explicit <em>N</em>-soliton solutions and higher-order breather solutions. This foundation facilitates the construction of periodic solutions and novel hybrid states incorporating periodic waves, breather solutions and soliton solutions. Furthermore, asymptotic analysis of <em>N</em>-soliton solutions under the long-wave limit yields spatially localized lump solutions and rogue waves. A significant advancement is the derivation of semi-rational solutions combining lumps, rogue waves, soliton solutions and breather solutions, substantially extending the known solution spectrum for this system. To characterize nonlinear dynamics, we employ three-dimensional visualizations and density plots with contour overlays, clearly elucidating the distinct evolution patterns exhibited by each solution class.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103693"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-26DOI: 10.1016/j.wavemoti.2025.103697
Pasqualino Corigliano, Marco Quattrone
Ensuring the fatigue reliability of large container ships is critical for preventing catastrophic structural failures. Wave–structure interaction plays a critical role in the long-term structural integrity of marine vessels operating under stochastic seas. This study analyzes the fatigue behaviour of container-ship structures exposed to wave-induced vertical bending moments by combining a spectral representation of irregular waves with material-specific fatigue models. Wave loads are described using the Pierson–Moskowitz spectrum for a range of representative sea states, and the corresponding structural responses are evaluated through spectral fatigue analysis. Fatigue damage is quantified using S–N curves and the Palmgren–Miner rule for four common marine steels (AH32, AH36, AISI 1020, AISI 316 L). Results show that AH36 and AISI 1020 provide robust resistance to cyclic wave loads, while AH32 and AISI 316 L exhibit significantly shorter fatigue lives under extreme sea states. The comparison with classification-society design formulations shows discrepancies of up to 23 % relative to direct calculations, highlighting the inherent limitations of rule-based design methods. The study also outlines inspection intervals and monitoring strategies intended to mitigate early crack initiation and propagation in structurally sensitive midship regions. Collectively, these findings contribute to improving structural safety, operational reliability, and the long-term durability of ocean-going vessels. The findings enable the possible development of a tool that can be installed on ships to provide real-time insights. By utilizing the transfer function provided by the ship's designers and real-time sea conditions, the tool could calculate instantaneous maximum stress values experienced by critical structural components. This allows for immediate prediction of the remaining fatigue life if the material's fatigue limit is exceeded. The findings support the development of real-time fatigue monitoring tools, enabling ship operators to anticipate critical conditions and implement preventive maintenance before failure occurs.
{"title":"Spectral wave-induced loads and fatigue life of ship structures for different sea states","authors":"Pasqualino Corigliano, Marco Quattrone","doi":"10.1016/j.wavemoti.2025.103697","DOIUrl":"10.1016/j.wavemoti.2025.103697","url":null,"abstract":"<div><div>Ensuring the fatigue reliability of large container ships is critical for preventing catastrophic structural failures. Wave–structure interaction plays a critical role in the long-term structural integrity of marine vessels operating under stochastic seas. This study analyzes the fatigue behaviour of container-ship structures exposed to wave-induced vertical bending moments by combining a spectral representation of irregular waves with material-specific fatigue models. Wave loads are described using the Pierson–Moskowitz spectrum for a range of representative sea states, and the corresponding structural responses are evaluated through spectral fatigue analysis. Fatigue damage is quantified using S–N curves and the Palmgren–Miner rule for four common marine steels (AH32, AH36, AISI 1020, AISI 316 L). Results show that AH36 and AISI 1020 provide robust resistance to cyclic wave loads, while AH32 and AISI 316 L exhibit significantly shorter fatigue lives under extreme sea states. The comparison with classification-society design formulations shows discrepancies of up to 23 % relative to direct calculations, highlighting the inherent limitations of rule-based design methods. The study also outlines inspection intervals and monitoring strategies intended to mitigate early crack initiation and propagation in structurally sensitive midship regions. Collectively, these findings contribute to improving structural safety, operational reliability, and the long-term durability of ocean-going vessels. The findings enable the possible development of a tool that can be installed on ships to provide real-time insights. By utilizing the transfer function provided by the ship's designers and real-time sea conditions, the tool could calculate instantaneous maximum stress values experienced by critical structural components. This allows for immediate prediction of the remaining fatigue life if the material's fatigue limit is exceeded. The findings support the development of real-time fatigue monitoring tools, enabling ship operators to anticipate critical conditions and implement preventive maintenance before failure occurs.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103697"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2026-01-17DOI: 10.1016/j.wavemoti.2026.103704
Wojciech P. Rdzanek , Jerzy Wiciak , Krzysztof Szemela , Marek Pawelczyk , Li Cheng
This study presents an analysis of sound radiation from a vibrating thin clamped rectangular plate using exact formulas. A new analytical approach–referred to here as the theoretical approximate formulas method–is proposed and applied to cases where the plate is either embedded in a rigid infinite baffle or has no baffle at all. The exact eigenfrequencies of the plate are obtained from a system of five coupled characteristic equations, as reported in the literature. The biharmonic equation governing the plate’s vibrations is coupled with the Helmholtz equation on both sides of the plate, thereby incorporating acoustic attenuation into the model. To represent the acoustic pressure and radiated acoustic power, a double Fourier transform is employed. These quantities are expressed as expansion series involving double infinite integrals. The integrals are evaluated exactly using the spectral mapping method, the Dini series, and radial polynomials.
The resulting solutions are accurate and rapidly convergent, spanning from frequencies below the plate’s fundamental frequency to those above its critical frequency. Consequently, the proposed method enables effective and precise solutions to both Neumann and Dirichlet boundary value problems, and facilitates detailed analysis of the resulting acoustic fields. The findings can be applied to predict the acoustic behavior of structural casing elements shaped in the form of thin rectangular plates, in industrial environments. Selected numerical examples are also provided to demonstrate the method’s applicability.
{"title":"Analysis of sound radiation from a vibrating clamped thin rectangular plate without baffle and in the rigid baffle using exact formulas","authors":"Wojciech P. Rdzanek , Jerzy Wiciak , Krzysztof Szemela , Marek Pawelczyk , Li Cheng","doi":"10.1016/j.wavemoti.2026.103704","DOIUrl":"10.1016/j.wavemoti.2026.103704","url":null,"abstract":"<div><div>This study presents an analysis of sound radiation from a vibrating thin clamped rectangular plate using exact formulas. A new analytical approach–referred to here as the <em>theoretical approximate formulas method</em>–is proposed and applied to cases where the plate is either embedded in a rigid infinite baffle or has no baffle at all. The exact eigenfrequencies of the plate are obtained from a system of five coupled characteristic equations, as reported in the literature. The biharmonic equation governing the plate’s vibrations is coupled with the Helmholtz equation on both sides of the plate, thereby incorporating acoustic attenuation into the model. To represent the acoustic pressure and radiated acoustic power, a double Fourier transform is employed. These quantities are expressed as expansion series involving double infinite integrals. The integrals are evaluated exactly using the spectral mapping method, the Dini series, and radial polynomials.</div><div>The resulting solutions are accurate and rapidly convergent, spanning from frequencies below the plate’s fundamental frequency to those above its critical frequency. Consequently, the proposed method enables effective and precise solutions to both Neumann and Dirichlet boundary value problems, and facilitates detailed analysis of the resulting acoustic fields. The findings can be applied to predict the acoustic behavior of structural casing elements shaped in the form of thin rectangular plates, in industrial environments. Selected numerical examples are also provided to demonstrate the method’s applicability.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103704"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-31DOI: 10.1016/j.wavemoti.2025.103698
Mark R. Carlisle, Brian E. Anderson
Time reversal (TR) is a technique used to focus wave energy to a selected location. High energy TR focusing has application in biomedical ultrasound and nondestructive evaluation of cracks or defects in solids. These applications can benefit from having the narrowest possible spatial extent of the focused sound energy, which is normally diffraction limited. Two-dimensional Helmholtz resonator arrays placed in the near field of TR focusing have been shown to produce a sub-diffraction limited spatial extent of the focused energy (when compared to the free-space wavelength). There is an apparent amplitude dependence to this focusing and this paper will discuss these nonlinear aspects. These observations were made by analyzing experimental results of TR focusing among an array of empty soda cans at different sound excitation levels. These nonlinear effects occur at much lower sound levels than is typical for nonlinear waveform steepening. The conclusion is made that the nonlinear observations are acoustic nonlinearities and are likely caused by acoustic jetting in Helmholtz resonators and this principally causes the amplitude of the focusing to be as much as three times lower in amplitude than linear scaling would predict and causes the spatial extent of the focusing to increase somewhat.
{"title":"The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array","authors":"Mark R. Carlisle, Brian E. Anderson","doi":"10.1016/j.wavemoti.2025.103698","DOIUrl":"10.1016/j.wavemoti.2025.103698","url":null,"abstract":"<div><div>Time reversal (TR) is a technique used to focus wave energy to a selected location. High energy TR focusing has application in biomedical ultrasound and nondestructive evaluation of cracks or defects in solids. These applications can benefit from having the narrowest possible spatial extent of the focused sound energy, which is normally diffraction limited. Two-dimensional Helmholtz resonator arrays placed in the near field of TR focusing have been shown to produce a sub-diffraction limited spatial extent of the focused energy (when compared to the free-space wavelength). There is an apparent amplitude dependence to this focusing and this paper will discuss these nonlinear aspects. These observations were made by analyzing experimental results of TR focusing among an array of empty soda cans at different sound excitation levels. These nonlinear effects occur at much lower sound levels than is typical for nonlinear waveform steepening. The conclusion is made that the nonlinear observations are acoustic nonlinearities and are likely caused by acoustic jetting in Helmholtz resonators and this principally causes the amplitude of the focusing to be as much as three times lower in amplitude than linear scaling would predict and causes the spatial extent of the focusing to increase somewhat.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103698"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145938756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2025-12-25DOI: 10.1016/j.wavemoti.2025.103694
Ke-Yu Ren
This study investigates the bifurcation and chaotic behaviors of soliton solutions for the stochastic nonlinear Schrödinger equation (NLSE) with fourth-order perturbations. A trial function method is employed to transform the model into an integrable system, yielding a planar nonlinear system. Phase portrait analysis reveals the existence of bright, dark, and kink soliton solutions in the equation. Incorporating external perturbation terms induces chaotic behaviors in the system, with the intensity strongly dependent on perturbation parameters. Based on this finding, stable control of the system’s dynamical behaviors can be achieved through parameter regulation, demonstrating the potential robustness of the model in practical applications. To validate these conclusions, the complete polynomial discriminant system is utilized for the comprehensive classification of exact solutions, and the classification results are mutually corroborated with the previous phase portrait analysis. Notably, the influence of delay effects induced by white noise on soliton amplitude and its mean value is intuitively illustrated through diagrams. To the best of our knowledge, this constitutes the first investigation into the chaotic behaviors of the stochastic extended NLSE with fourth-order perturbations, filling a significant gap in the current research on such models.
{"title":"Optical solitons, dynamic behaviors, and chaotic characteristics of the stochastic fourth-order nonlinear Schrödinger equation with white noise","authors":"Ke-Yu Ren","doi":"10.1016/j.wavemoti.2025.103694","DOIUrl":"10.1016/j.wavemoti.2025.103694","url":null,"abstract":"<div><div>This study investigates the bifurcation and chaotic behaviors of soliton solutions for the stochastic nonlinear Schrödinger equation (NLSE) with fourth-order perturbations. A trial function method is employed to transform the model into an integrable system, yielding a planar nonlinear system. Phase portrait analysis reveals the existence of bright, dark, and kink soliton solutions in the equation. Incorporating external perturbation terms induces chaotic behaviors in the system, with the intensity strongly dependent on perturbation parameters. Based on this finding, stable control of the system’s dynamical behaviors can be achieved through parameter regulation, demonstrating the potential robustness of the model in practical applications. To validate these conclusions, the complete polynomial discriminant system is utilized for the comprehensive classification of exact solutions, and the classification results are mutually corroborated with the previous phase portrait analysis. Notably, the influence of delay effects induced by white noise on soliton amplitude and its mean value is intuitively illustrated through diagrams. To the best of our knowledge, this constitutes the first investigation into the chaotic behaviors of the stochastic extended NLSE with fourth-order perturbations, filling a significant gap in the current research on such models.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103694"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2026-01-10DOI: 10.1016/j.wavemoti.2026.103701
Yi An , Zhijiang Chen
Since the dispersion spectrum of periodic structures is usually determined by physical and geometric parameters, their bandgap characteristics remain unchanged after the metamaterial is designed, significantly limiting the application scenarios of this waveguide. How to actively control its working frequency is an essential and valuable topic. We investigate the propagation of harmonic anti-plane shear waves in the case of oblique incidence in periodic two-phase phononic laminates whose elementary cells are designed according to the quasicrystalline standard Fibonacci substitution rule. A trace-map formalism, providing a geometrical representation of the recursive rule governing the traces of three relevant transmission matrices, is used to study the resulting dynamic spectra. The traces of three consecutive elementary cells can be represented as a point on the surface and recursivity conveys the description of a discrete orbit on the surface. In analogy with the past 1D periodic structure, we show that for specific dispersion layouts of the elementary cell (the canonical configurations), the stop-/pass-band diagrams along the frequency domain are periodic. In addition, the dispersion layouts and associated canonical frequencies can be adjusted by regulation wave incident angles, which also leads to a variation of impedance mismatch. Therefore, the switch-on-off ability for wave propagation with certain frequencies is presented. Several periodic orbits exist and each corresponds to a self-similar portion of the dynamic spectra whose scaling law can be studied by linearising the trace map in the neighbourhood of the orbit. Our results provide an innovative method to actively excite and tune bandgap layouts for elastic waves, which may be profitably exploited for the realisation of elastic metamaterials.
{"title":"Wave propagation in angle regulated canonical quasicrystalline-generated laminates","authors":"Yi An , Zhijiang Chen","doi":"10.1016/j.wavemoti.2026.103701","DOIUrl":"10.1016/j.wavemoti.2026.103701","url":null,"abstract":"<div><div>Since the dispersion spectrum of periodic structures is usually determined by physical and geometric parameters, their bandgap characteristics remain unchanged after the metamaterial is designed, significantly limiting the application scenarios of this waveguide. How to actively control its working frequency is an essential and valuable topic. We investigate the propagation of harmonic anti-plane shear waves in the case of oblique incidence in periodic two-phase phononic laminates whose elementary cells are designed according to the quasicrystalline standard Fibonacci substitution rule. A trace-map formalism, providing a geometrical representation of the recursive rule governing the traces of three relevant transmission matrices, is used to study the resulting dynamic spectra. The traces of three consecutive elementary cells can be represented as a point on the surface and recursivity conveys the description of a discrete orbit on the surface. In analogy with the past 1D periodic structure, we show that for specific dispersion layouts of the elementary cell (the <em>canonical</em> configurations), the stop-/pass-band diagrams along the frequency domain are periodic. In addition, the dispersion layouts and associated canonical frequencies can be adjusted by regulation wave incident angles, which also leads to a variation of impedance mismatch. Therefore, the switch-on-off ability for wave propagation with certain frequencies is presented. Several periodic orbits exist and each corresponds to a self-similar portion of the dynamic spectra whose scaling law can be studied by linearising the trace map in the neighbourhood of the orbit. Our results provide an innovative method to actively excite and tune bandgap layouts for elastic waves, which may be profitably exploited for the realisation of elastic metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103701"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号