Pub Date : 2025-12-25DOI: 10.1016/j.wavemoti.2025.103695
Su Yang
In this paper, we study a non-integrable discrete lattice model which is a variant of an integrable discretization of the standard Hopf equation. Interestingly, a direct numerical simulation of the Riemann problem associated with such a discrete lattice shows the emergence of both the dispersive shock wave (DSW) and rarefaction wave (RW). We propose two quasi-continuum models which are represented by partial differential equations (PDEs) in order to both analytically and numerically capture the features of the DSW and RW of the lattice. Accordingly, we apply the DSW fitting method to gain important insights and provide theoretical predictions on various edge features of the DSW including the edge speed and wavenumber. Meanwhile, we analytically compute the self-similar solutions of the quasi-continuum models, which serve as the approximation of the RW of the lattice. We then conduct comparisons between these numerical and analytical results to examine the performance of the approximation of the quasi-continuum models to the discrete lattice.
{"title":"Quasi-continuum approximations for nonlinear dispersive waves in general discrete conservation laws","authors":"Su Yang","doi":"10.1016/j.wavemoti.2025.103695","DOIUrl":"10.1016/j.wavemoti.2025.103695","url":null,"abstract":"<div><div>In this paper, we study a non-integrable discrete lattice model which is a variant of an integrable discretization of the standard Hopf equation. Interestingly, a direct numerical simulation of the Riemann problem associated with such a discrete lattice shows the emergence of both the dispersive shock wave (DSW) and rarefaction wave (RW). We propose two quasi-continuum models which are represented by partial differential equations (PDEs) in order to both analytically and numerically capture the features of the DSW and RW of the lattice. Accordingly, we apply the DSW fitting method to gain important insights and provide theoretical predictions on various edge features of the DSW including the edge speed and wavenumber. Meanwhile, we analytically compute the self-similar solutions of the quasi-continuum models, which serve as the approximation of the RW of the lattice. We then conduct comparisons between these numerical and analytical results to examine the performance of the approximation of the quasi-continuum models to the discrete lattice.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103695"},"PeriodicalIF":2.5,"publicationDate":"2025-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145883945","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 : 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":"2025-12-11","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 : 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":"2025-12-11","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 : 2025-12-11DOI: 10.1016/j.wavemoti.2025.103690
Santan Kumar , Kartik Paul , Richa Kumari
This study investigates the propagation characteristics of Rayleigh-type wave (RTW) in a rotating structure consisting of a dissimilar functionally graded piezoelectric-orthotropic (FGPO) substrate underlying a FGPO layer. The analysis considers the effect of bonding imperfections at the interface between the substrate and the overlying layer. Utilizing the Stroh formalism technique, this study aims to obtain the exact secular relations for the wave propagating in the considered structure under both electrically open (EO) and electrically short (ES) surface conditions. Various cases are examined and discussed based on the derived secular relations. When the relevant parameters are appropriately substituted, the established secular relations align with the existing results in the literature. Additionally, a numerical simulation is performed to graphically illustrate the impacts of wave number, rotation, gradient parameters, mechanical and electrical imperfect parameters, and piezoelectric coupling parameters on the phase velocity (PhV) of the propagating wave in the considered structure for electrical surface conditions. A comparative study among electrically open and short conditions is effectuated considering distinct aspects of the considered geometrical model. This comprehensive analysis provides valuable insights into how aforementioned affecting factors significantly influence RTW propagation in a rotating distinct FGPO layered structure with interfacial imperfection. The reported consequences may be applied in the design of surface acoustic wave (SAW) devices.
{"title":"Stroh formalism for rotating functionally graded piezo-composite layered waveguide with non-ideal interface","authors":"Santan Kumar , Kartik Paul , Richa Kumari","doi":"10.1016/j.wavemoti.2025.103690","DOIUrl":"10.1016/j.wavemoti.2025.103690","url":null,"abstract":"<div><div>This study investigates the propagation characteristics of Rayleigh-type wave (RTW) in a rotating structure consisting of a dissimilar functionally graded piezoelectric-orthotropic (FGPO) substrate underlying a FGPO layer. The analysis considers the effect of bonding imperfections at the interface between the substrate and the overlying layer. Utilizing the Stroh formalism technique, this study aims to obtain the exact secular relations for the wave propagating in the considered structure under both electrically open (EO) and electrically short (ES) surface conditions. Various cases are examined and discussed based on the derived secular relations. When the relevant parameters are appropriately substituted, the established secular relations align with the existing results in the literature. Additionally, a numerical simulation is performed to graphically illustrate the impacts of wave number, rotation, gradient parameters, mechanical and electrical imperfect parameters, and piezoelectric coupling parameters on the phase velocity (PhV) of the propagating wave in the considered structure for electrical surface conditions. A comparative study among electrically open and short conditions is effectuated considering distinct aspects of the considered geometrical model. This comprehensive analysis provides valuable insights into how aforementioned affecting factors significantly influence RTW propagation in a rotating distinct FGPO layered structure with interfacial imperfection. The reported consequences may be applied in the design of surface acoustic wave (SAW) devices.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103690"},"PeriodicalIF":2.5,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797349","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 : 2025-12-08DOI: 10.1016/j.wavemoti.2025.103689
Hanyu Wei , Xin Wang , Tengjin Zhao
In this paper, we study dark solitons on elliptic periodic wave background and their inelastic collisions in the defocusing quintic equation of the nonlinear Schrödinger hierarchy, which consists of fifth-order dispersion and matching nonlinear terms. By virtue of the modified squared wavefunction approach, we obtain the one-phase periodic solution in terms of Jacobi’s elliptic function, and solve the associated linear matrix eigenvalue problem with the elliptic function initial solution. Resorting to the shift formulas between elliptic functions and theta functions as well as the addition formulas of theta functions, we utilize the theta functions to represent these Jacobi’s elliptic function solutions. Using the Darboux transformation and limit technique, we construct the N-elliptic-dark soliton solution expressed in theta functions. Particularly, the explicit one-elliptic-dark soliton solution and its asymptotic behaviors are presented. It is observed that, the fifth-order dispersion and matching nonlinear terms could affect the velocity of solitons. Furthermore, the two- and three-elliptic-dark soliton solutions are illustrated graphically. The fifth-order dispersion and matching nonlinear terms are shown to primarily produce the compression effect on the spatiotemporal distributions of the elliptic dark solitons. Unlike the usual solitons on zero or plane-wave background, collisions involving two or three dark solitons on elliptic periodic wave background presented in this paper are demonstrated to be inelastic, since the amplitudes and shapes of them are changed after interactions. This property of inelastic collision are further confirmed through the standard asymptotic analysis method and some typical numerical plots.
{"title":"Dark solitons in the defocusing nonlinear Schrödinger equation with quintic terms on elliptic periodic wave background and inelastic collisions","authors":"Hanyu Wei , Xin Wang , Tengjin Zhao","doi":"10.1016/j.wavemoti.2025.103689","DOIUrl":"10.1016/j.wavemoti.2025.103689","url":null,"abstract":"<div><div>In this paper, we study dark solitons on elliptic periodic wave background and their inelastic collisions in the defocusing quintic equation of the nonlinear Schrödinger hierarchy, which consists of fifth-order dispersion and matching nonlinear terms. By virtue of the modified squared wavefunction approach, we obtain the one-phase periodic solution in terms of Jacobi’s elliptic function, and solve the associated linear matrix eigenvalue problem with the elliptic function initial solution. Resorting to the shift formulas between elliptic functions and theta functions as well as the addition formulas of theta functions, we utilize the theta functions to represent these Jacobi’s elliptic function solutions. Using the Darboux transformation and limit technique, we construct the <em>N</em>-elliptic-dark soliton solution expressed in theta functions. Particularly, the explicit one-elliptic-dark soliton solution and its asymptotic behaviors are presented. It is observed that, the fifth-order dispersion and matching nonlinear terms could affect the velocity of solitons. Furthermore, the two- and three-elliptic-dark soliton solutions are illustrated graphically. The fifth-order dispersion and matching nonlinear terms are shown to primarily produce the compression effect on the spatiotemporal distributions of the elliptic dark solitons. Unlike the usual solitons on zero or plane-wave background, collisions involving two or three dark solitons on elliptic periodic wave background presented in this paper are demonstrated to be inelastic, since the amplitudes and shapes of them are changed after interactions. This property of inelastic collision are further confirmed through the standard asymptotic analysis method and some typical numerical plots.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103689"},"PeriodicalIF":2.5,"publicationDate":"2025-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797351","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 : 2025-12-04DOI: 10.1016/j.wavemoti.2025.103688
A.A. Youssef , N.K. Amein , F.A. Salama , A.F. Ghaleb , Ethar A A Ahmed
This paper studies the nonlinear behavior of Rayleigh surface waves in a piezo-thermoelastic half-space under the framework of the dual-phase-lag (DPL) theory. The nonlinearity arises from the temperature dependence of the dielectric moduli, which leads to coupled electro-thermo-mechanical interactions. The governing equations are solved analytically using a perturbation technique up to the second-order approximation, revealing the generation of higher-order harmonics. Numerical simulations demonstrate how thermal relaxation times and dielectric nonlinearity affect the surface wave characteristics. The findings are relevant to wave propagation in functional materials with temperature-dependent electromechanical properties and are important for applications in surface acoustic wave (SAW) devices and thermo-sensitive smart systems.
{"title":"Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag","authors":"A.A. Youssef , N.K. Amein , F.A. Salama , A.F. Ghaleb , Ethar A A Ahmed","doi":"10.1016/j.wavemoti.2025.103688","DOIUrl":"10.1016/j.wavemoti.2025.103688","url":null,"abstract":"<div><div>This paper studies the nonlinear behavior of Rayleigh surface waves in a piezo-thermoelastic half-space under the framework of the dual-phase-lag (DPL) theory. The nonlinearity arises from the temperature dependence of the dielectric moduli, which leads to coupled electro-thermo-mechanical interactions. The governing equations are solved analytically using a perturbation technique up to the second-order approximation, revealing the generation of higher-order harmonics. Numerical simulations demonstrate how thermal relaxation times and dielectric nonlinearity affect the surface wave characteristics. The findings are relevant to wave propagation in functional materials with temperature-dependent electromechanical properties and are important for applications in surface acoustic wave (SAW) devices and thermo-sensitive smart systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103688"},"PeriodicalIF":2.5,"publicationDate":"2025-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145747845","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 : 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":"2025-11-28","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 : 2025-11-24DOI: 10.1016/j.wavemoti.2025.103678
Semyon Churilov
Long-distance transmission of energy by waves is a key mechanism for many natural processes. It becomes possible when the inhomogeneous medium is arranged in such a manner that it enables a specific type of waves to propagate with virtually no reflection or scattering. If the corresponding linear wave equation admits factorization, at least one of the waves it describes propagates without reflection. The paper is devoted to searching for conditions under which both solutions of a one-dimensional factorized wave equation of the second order describe traveling waves, that is, waves propagating without reflection. Possible variants of wave structure are found and the results are compared with those obtained in previous studies.
{"title":"Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation","authors":"Semyon Churilov","doi":"10.1016/j.wavemoti.2025.103678","DOIUrl":"10.1016/j.wavemoti.2025.103678","url":null,"abstract":"<div><div>Long-distance transmission of energy by waves is a key mechanism for many natural processes. It becomes possible when the inhomogeneous medium is arranged in such a manner that it enables a specific type of waves to propagate with virtually no reflection or scattering. If the corresponding linear wave equation admits factorization, at least one of the waves it describes propagates without reflection. The paper is devoted to searching for conditions under which both solutions of a one-dimensional factorized wave equation of the second order describe traveling waves, that is, waves propagating without reflection. Possible variants of wave structure are found and the results are compared with those obtained in previous studies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103678"},"PeriodicalIF":2.5,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694243","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 : 2025-11-23DOI: 10.1016/j.wavemoti.2025.103679
Wenhua Chen , Xueguang Liu , Zhiyong Yin , Yudong Sun , Weixi Huang
Determining the sound propagation characteristics of fluid-filled pipes is essential in acoustic stealth and leakage detection research. This study develops a rapid method for assessing the acoustic transmission properties of fluid-filled pipes under practical conditions involving an external medium. Initially, coupled equations for the fluid-filled pipe and the surrounding medium are established. Based on the dispersion characteristics, the influence of different external media on the propagation of the s = 1 wave mode is analyzed. Overall, the surrounding medium affects both wave speed and transmission loss within the pipe. Specifically, the added damping introduced by the external medium increases acoustic transmission loss. When the external medium exerts an axial force on the pipe, its axial natural frequency increases (by about a factor of 100 when embedded in soil compared to water), thereby suppressing resonant peaks in the transmission loss. The loading effect of the external medium also alters wave speed. When the pipe is embedded in soil, the low-frequency wave speed increases notably. A transfer matrix describing the relationship between variables at both ends of the pipe is derived using fluid pressure and displacement and pipe force and displacement. This model accounts for the external elastic medium, a feature frequently neglected in prior studies, to provide a more accurate representation of practical scenarios such as buried and subsea pipelines. Based on this matrix, a method for calculating transmission loss is developed, substantially reducing the time required to solve complex partial differential equations. The computed transmission loss aligns well with simulation data, validating the proposed method. Overall, the approach considerably enhances computational efficiency, making it suitable for engineering applications.
{"title":"Rapid computation of sound transmission in fluid-filled pipes coupled with an outer elastic medium","authors":"Wenhua Chen , Xueguang Liu , Zhiyong Yin , Yudong Sun , Weixi Huang","doi":"10.1016/j.wavemoti.2025.103679","DOIUrl":"10.1016/j.wavemoti.2025.103679","url":null,"abstract":"<div><div>Determining the sound propagation characteristics of fluid-filled pipes is essential in acoustic stealth and leakage detection research. This study develops a rapid method for assessing the acoustic transmission properties of fluid-filled pipes under practical conditions involving an external medium. Initially, coupled equations for the fluid-filled pipe and the surrounding medium are established. Based on the dispersion characteristics, the influence of different external media on the propagation of the s = 1 wave mode is analyzed. Overall, the surrounding medium affects both wave speed and transmission loss within the pipe. Specifically, the added damping introduced by the external medium increases acoustic transmission loss. When the external medium exerts an axial force on the pipe, its axial natural frequency increases (by about a factor of 100 when embedded in soil compared to water), thereby suppressing resonant peaks in the transmission loss. The loading effect of the external medium also alters wave speed. When the pipe is embedded in soil, the low-frequency wave speed increases notably. A transfer matrix describing the relationship between variables at both ends of the pipe is derived using fluid pressure and displacement and pipe force and displacement. This model accounts for the external elastic medium, a feature frequently neglected in prior studies, to provide a more accurate representation of practical scenarios such as buried and subsea pipelines. Based on this matrix, a method for calculating transmission loss is developed, substantially reducing the time required to solve complex partial differential equations. The computed transmission loss aligns well with simulation data, validating the proposed method. Overall, the approach considerably enhances computational efficiency, making it suitable for engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103679"},"PeriodicalIF":2.5,"publicationDate":"2025-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145623930","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 : 2025-11-19DOI: 10.1016/j.wavemoti.2025.103677
Hongzhi Fu
Based on lattice vibration, the 3-branches of lattice waves of GaN (longitudinal wave, slow transverse lattice wave and fast transverse lattice wave) are systematically studied with phase and group wave surfaces. Their properties about the phonon transportation and phonon focusing as well as the degeneracy are investigated in Gaussian curvature. According to the theory of sound field and wave in crystals, we mainly focus on bulk phonon polaritons, exciton polaritons and surface polaritons in GaN. The properties are investigated on the dispersion of phonon polaritons and exciton dispersion polaritons with electromagnetic waves.
{"title":"Phonon focusing and polaritons of GaN","authors":"Hongzhi Fu","doi":"10.1016/j.wavemoti.2025.103677","DOIUrl":"10.1016/j.wavemoti.2025.103677","url":null,"abstract":"<div><div>Based on lattice vibration, the 3-branches of lattice waves of GaN (longitudinal wave, slow transverse lattice wave and fast transverse lattice wave) are systematically studied with phase and group wave surfaces. Their properties about the phonon transportation and phonon focusing as well as the degeneracy are investigated in Gaussian curvature. According to the theory of sound field and wave in crystals, we mainly focus on bulk phonon polaritons, exciton polaritons and surface polaritons in GaN. The properties are investigated on the dispersion of phonon polaritons and exciton dispersion polaritons with electromagnetic waves.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103677"},"PeriodicalIF":2.5,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145624798","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}
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