Pub Date : 2025-11-08DOI: 10.1016/j.wavemoti.2025.103672
Qing-Dong Hong , Lei Yang , Rui-Lin Liu , Shu-Ya Jin , Ya-Xian Fan , Zhi-Yong Tao
We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.
{"title":"Interface states of surface water waves based on Fibonacci corrugations with mirror symmetry","authors":"Qing-Dong Hong , Lei Yang , Rui-Lin Liu , Shu-Ya Jin , Ya-Xian Fan , Zhi-Yong Tao","doi":"10.1016/j.wavemoti.2025.103672","DOIUrl":"10.1016/j.wavemoti.2025.103672","url":null,"abstract":"<div><div>We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103672"},"PeriodicalIF":2.5,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528918","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 : 2025-11-07DOI: 10.1016/j.wavemoti.2025.103670
Bingkai Han, Wei Ouyang, Qianru Xu, Shaokang Yang, Weijian Mao
True-amplitude migration is essential for quantitative seismic imaging because it preserves the amplitude information required for reliable inversion and interpretation. Ray-theoretical formulations, beginning with asymptotic linearized inversion, establish migration as the adjoint of the Born operator and achieve amplitude fidelity through pseudo-differential analysis. In contrast, wave-equation-based methods such as reverse-time migration (RTM) are widely applied in practice, but their crosscorrelation implementations do not, in general, ensure amplitude correctness. This raises a fundamental question of consistency: under what conditions does RTM recover the same amplitude-correct image as asymptotic linearized inversion? In this study, we develop a unified framework for true-amplitude migration in acoustic media, valid in (). Using scattering-angle-domain decompositions of the Born operator, we analyze the stationary-phase structure of the single-scattering Hessian and construct a Beylkin-type migration operator within a least-squares framework. By explicit evaluating the Jacobian factors that map acquisition surface coordinates into angle-domain coordinates at the imaging point, and further examining the asymptotic behavior of forward- and backward-propagated wavefields, we demonstrate that angle-restricted RTM recovers the same true-amplitude scaling as the derived Beylkin-type operator. This result reconciles ray-theoretical and wave-equation-based perspectives, showing that amplitude corrections, traditionally associated with ray-based methods, can be systematically and naturally incorporated in RTM through geometrical-spreading analysis. Numerical demonstrations confirm that the proposed formulation yields angle-domain common image gathers with accurate amplitude behavior, validating the theoretical consistency and providing a robust foundation for amplitude-variation studies and quantitative inversion in complex acoustic media.
{"title":"Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations","authors":"Bingkai Han, Wei Ouyang, Qianru Xu, Shaokang Yang, Weijian Mao","doi":"10.1016/j.wavemoti.2025.103670","DOIUrl":"10.1016/j.wavemoti.2025.103670","url":null,"abstract":"<div><div>True-amplitude migration is essential for quantitative seismic imaging because it preserves the amplitude information required for reliable inversion and interpretation. Ray-theoretical formulations, beginning with asymptotic linearized inversion, establish migration as the adjoint of the Born operator and achieve amplitude fidelity through pseudo-differential analysis. In contrast, wave-equation-based methods such as reverse-time migration (RTM) are widely applied in practice, but their crosscorrelation implementations do not, in general, ensure amplitude correctness. This raises a fundamental question of consistency: under what conditions does RTM recover the same amplitude-correct image as asymptotic linearized inversion? In this study, we develop a unified framework for true-amplitude migration in acoustic media, valid in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> (<span><math><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></math></span>). Using scattering-angle-domain decompositions of the Born operator, we analyze the stationary-phase structure of the single-scattering Hessian and construct a Beylkin-type migration operator within a least-squares framework. By explicit evaluating the Jacobian factors that map acquisition surface coordinates into angle-domain coordinates at the imaging point, and further examining the asymptotic behavior of forward- and backward-propagated wavefields, we demonstrate that angle-restricted RTM recovers the same true-amplitude scaling as the derived Beylkin-type operator. This result reconciles ray-theoretical and wave-equation-based perspectives, showing that amplitude corrections, traditionally associated with ray-based methods, can be systematically and naturally incorporated in RTM through geometrical-spreading analysis. Numerical demonstrations confirm that the proposed formulation yields angle-domain common image gathers with accurate amplitude behavior, validating the theoretical consistency and providing a robust foundation for amplitude-variation studies and quantitative inversion in complex acoustic media.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103670"},"PeriodicalIF":2.5,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474745","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}
We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.
{"title":"Seismic wave interaction with buried cavity networks: Analytical modeling and resonance effects","authors":"Agnès Maurel , Stéphane Brulé , Sébastien Guenneau , Kim Pham","doi":"10.1016/j.wavemoti.2025.103666","DOIUrl":"10.1016/j.wavemoti.2025.103666","url":null,"abstract":"<div><div>We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103666"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425343","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 : 2025-10-31DOI: 10.1016/j.wavemoti.2025.103668
K.A. Lurie
The paper examines the propagation of unilateral waves through an assembly of two materials with different space- and time-dependent properties. The assembly is immovable and characterized by a checkerboard material geometry in space and time. For a special range of material and structural parameters, the checkerboard geometry secures spatiotemporal focusing of traveling waves into progressively compressing pulses accumulating their wave energy along the way.
{"title":"The mechanism of energy accumulation in dynamic pulses traveling through checkerboard material assembly in space-time","authors":"K.A. Lurie","doi":"10.1016/j.wavemoti.2025.103668","DOIUrl":"10.1016/j.wavemoti.2025.103668","url":null,"abstract":"<div><div>The paper examines the propagation of unilateral waves through an assembly of two materials with different space- and time-dependent properties. The assembly is immovable and characterized by a checkerboard material geometry in space and time. For a special range of material and structural parameters, the checkerboard geometry secures spatiotemporal focusing of traveling waves into progressively compressing pulses accumulating their wave energy along the way.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103668"},"PeriodicalIF":2.5,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474645","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 : 2025-10-28DOI: 10.1016/j.wavemoti.2025.103669
Yaru Suo , Xingming Guo , Zhaoyang Ma
A novel star-shaped metamaterial (SSM) is proposed to achieve simultaneous vibration isolation and energy absorption capabilities. The band structure of the proposed SSM is given based on the Floquet-Bloch theorem with boundary modes of each bandgap analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the SSM triggers monopole, dipolar and quadrupolar resonances to form locally resonant bandgaps and exhibit equivalent negative parametric characteristics. The SSM can generate the lowest bandgap frequency of 53.149 Hz and bandgaps (lower-frequency and broader bandgaps) are highly sensitive to geometric properties angle based on parametric analysis. Additionally, vibration isolation and energy absorption performance can be enhanced by introducing a gradient parameter with angle into the SSM structure. The design of the gradient structure breaks local symmetry, opening the Dirac points to generate a new bandgap. Furthermore, uniaxial compression induces different buckling deformation, enabling the gradient structure to achieve superior energy absorption performance under the same loading conditions. This study proposes a dual-functional SSM that integrates vibration isolation and energy absorption, providing a potential pathway for multifunctional metamaterial design.
{"title":"Dual-Functional Star-shaped Metamaterial for Simultaneous Vibration Isolation and Energy Absorption","authors":"Yaru Suo , Xingming Guo , Zhaoyang Ma","doi":"10.1016/j.wavemoti.2025.103669","DOIUrl":"10.1016/j.wavemoti.2025.103669","url":null,"abstract":"<div><div>A novel star-shaped metamaterial (SSM) is proposed to achieve simultaneous vibration isolation and energy absorption capabilities. The band structure of the proposed SSM is given based on the Floquet-Bloch theorem with boundary modes of each bandgap analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the SSM triggers monopole, dipolar and quadrupolar resonances to form locally resonant bandgaps and exhibit equivalent negative parametric characteristics. The SSM can generate the lowest bandgap frequency of 53.149 Hz and bandgaps (lower-frequency and broader bandgaps) are highly sensitive to geometric properties angle <span><math><mi>θ</mi></math></span> based on parametric analysis. Additionally, vibration isolation and energy absorption performance can be enhanced by introducing a gradient parameter with angle <span><math><mi>θ</mi></math></span> into the SSM structure. The design of the gradient structure breaks local symmetry, opening the Dirac points to generate a new bandgap. Furthermore, uniaxial compression induces different buckling deformation, enabling the gradient structure to achieve superior energy absorption performance under the same loading conditions. This study proposes a dual-functional SSM that integrates vibration isolation and energy absorption, providing a potential pathway for multifunctional metamaterial design.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103669"},"PeriodicalIF":2.5,"publicationDate":"2025-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474644","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 : 2025-10-24DOI: 10.1016/j.wavemoti.2025.103667
S. Bahena-Jimenez , E. Bautista , A. Mora , F. Mendez
The interaction between non-uniform marine currents and linear water waves and its effect on the liquefaction depth of the poroelastic soil is studied. The system is divided into an upper water layer, a middle soil liquefied region, and a lower non-liquefied soil. The wave–current interaction is analyzed by adopting the Rayleigh stability theory. The non-uniform current is assumed to have a vertical non-uniform profile, treated as a piecewise linear approximation. The dynamic response of the soil is analytically determined for the solid skeleton displacement, , and the pore pressure, , by applying the u-p approximation to the governing equations. The effects of the marine current direction, relative to the wave propagation, on the magnitude of soil liquefaction are studied. It is identified that the most significant values of the liquefaction depth occur for marine currents with linear profiles traveling in an opposite direction to the wave propagation; on the contrary, for currents traveling in the same direction as the wave propagation, the liquefaction depth increases for currents with non-uniform profiles. Furthermore, the influence of soil parameters such as permeability, compressibility, and shear modulus are also analyzed. As a first approximation, the present analysis may help understand the behavior of the liquefaction depth magnitude induced by the wave-non-uniform marine current interaction.
{"title":"Hydrodynamics interaction between water waves of small amplitude and non-uniform marine currents in the liquefaction depth of poroelastic soils","authors":"S. Bahena-Jimenez , E. Bautista , A. Mora , F. Mendez","doi":"10.1016/j.wavemoti.2025.103667","DOIUrl":"10.1016/j.wavemoti.2025.103667","url":null,"abstract":"<div><div>The interaction between non-uniform marine currents and linear water waves and its effect on the liquefaction depth of the poroelastic soil is studied. The system is divided into an upper water layer, a middle soil liquefied region, and a lower non-liquefied soil. The wave–current interaction is analyzed by adopting the Rayleigh stability theory. The non-uniform current is assumed to have a vertical non-uniform profile, treated as a piecewise linear approximation. The dynamic response of the soil is analytically determined for the solid skeleton displacement, <span><math><mi>u</mi></math></span>, and the pore pressure, <span><math><mi>p</mi></math></span>, by applying the <em>u-p</em> approximation to the governing equations. The effects of the marine current direction, relative to the wave propagation, on the magnitude of soil liquefaction are studied. It is identified that the most significant values of the liquefaction depth occur for marine currents with linear profiles traveling in an opposite direction to the wave propagation; on the contrary, for currents traveling in the same direction as the wave propagation, the liquefaction depth increases for currents with non-uniform profiles. Furthermore, the influence of soil parameters such as permeability, compressibility, and shear modulus are also analyzed. As a first approximation, the present analysis may help understand the behavior of the liquefaction depth magnitude induced by the wave-non-uniform marine current interaction.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103667"},"PeriodicalIF":2.5,"publicationDate":"2025-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425344","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 : 2025-10-23DOI: 10.1016/j.wavemoti.2025.103654
Deqin Qiu , Wei Liu , Yongshuai Zhang
This manuscript revisits the Darboux–Bäcklund transformation of the Tzitzéica equation, a classical geometric equation introduced by Romanian researcher Tzitzéica who inspired affine differential geometry. The construction of the first-order Darboux–Bäcklund transformation is re-examined. By applying Bianchi’s permutability, the second-order Bäcklund transformation (or nonlinear superposition formula) is derived. The two-fold and -fold Darboux transformations of the Tzitzéica equation are expressed by the compact determinants. These transformations require specific constraints on additional eigenfunctions and spectral parameters. Applying the generated Darboux–Bäcklund formulas, the 1- and 2-order soliton solutions for the Tzitzéica equation are constructed. The decomposition of the 2-soliton solution for the Tzitzéica equation and the constant ‘phase shift’ and approximate trajectories are obtained. Notably, the second-order complex-valued solutions exhibit diverse dynamical behaviors (e.g., breathers, solitons, and periodic waves) by choosing different values of free parameters.
{"title":"Darboux–Bäcklund transformation of the Tzitzéica equation: Novel solitons and breathers","authors":"Deqin Qiu , Wei Liu , Yongshuai Zhang","doi":"10.1016/j.wavemoti.2025.103654","DOIUrl":"10.1016/j.wavemoti.2025.103654","url":null,"abstract":"<div><div>This manuscript revisits the Darboux–Bäcklund transformation of the Tzitzéica equation, a classical geometric equation introduced by Romanian researcher Tzitzéica who inspired affine differential geometry. The construction of the first-order Darboux–Bäcklund transformation is re-examined. By applying Bianchi’s permutability, the second-order Bäcklund transformation (or nonlinear superposition formula) is derived. The two-fold and <span><math><mi>n</mi></math></span>-fold Darboux transformations of the Tzitzéica equation are expressed by the compact determinants. These transformations require specific constraints on additional eigenfunctions and spectral parameters. Applying the generated Darboux–Bäcklund formulas, the 1- and 2-order soliton solutions for the Tzitzéica equation are constructed. The decomposition of the 2-soliton solution for the Tzitzéica equation and the constant ‘phase shift’ and approximate trajectories are obtained. Notably, the second-order complex-valued solutions exhibit diverse dynamical behaviors (<em>e.g</em>., breathers, solitons, and periodic waves) by choosing different values of free parameters.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103654"},"PeriodicalIF":2.5,"publicationDate":"2025-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145365193","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 : 2025-10-21DOI: 10.1016/j.wavemoti.2025.103665
Dede Tarwidi , Sri Redjeki Pudjaprasetya , Didit Adytia
In this study, an embedded wave generation technique is developed in a two-layer non-hydrostatic model (NH-2L). The wave generation is implemented by formulating the suitable source function and embedding it as a source term within the mass conservation equation. A straightforward, step-by-step method for constructing wave generation through embedded sources is described. The numerical model is subsequently tested through various test cases that encompass wave generation, including both regular and irregular waves. The results of wave generation are evaluated against analytical solutions and existing experimental data. The wave generation method can accurately generate monochromatic waves in both intermediate and deep water regions under absorbing boundary conditions. The simulation results for regular and irregular waves are in agreement with those obtained by laboratory experiments, demonstrating that the embedded wave generation technique implemented in the two-layer non-hydrostatic model can be used to study wave transformation in coastal regions.
{"title":"Embedded wave generation technique for two-layer non-hydrostatic models","authors":"Dede Tarwidi , Sri Redjeki Pudjaprasetya , Didit Adytia","doi":"10.1016/j.wavemoti.2025.103665","DOIUrl":"10.1016/j.wavemoti.2025.103665","url":null,"abstract":"<div><div>In this study, an embedded wave generation technique is developed in a two-layer non-hydrostatic model (NH-2L). The wave generation is implemented by formulating the suitable source function and embedding it as a source term within the mass conservation equation. A straightforward, step-by-step method for constructing wave generation through embedded sources is described. The numerical model is subsequently tested through various test cases that encompass wave generation, including both regular and irregular waves. The results of wave generation are evaluated against analytical solutions and existing experimental data. The wave generation method can accurately generate monochromatic waves in both intermediate and deep water regions under absorbing boundary conditions. The simulation results for regular and irregular waves are in agreement with those obtained by laboratory experiments, demonstrating that the embedded wave generation technique implemented in the two-layer non-hydrostatic model can be used to study wave transformation in coastal regions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103665"},"PeriodicalIF":2.5,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145365194","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}
In this paper, we derive the non-degenerate and degenerate one- and two-soliton solutions to the semi-discrete vector nonlinear Schrödinger system, which can describe the mean-field waves within the Bose–Einstein condensate system, via Hirota’s bilinear method. The plots with different hump structures for two components are shown under the appropriate restrictions of parameters. Non-degenerate one-soliton solutions that have the double-hump structure and degenerate one-soliton solutions that have the single-hump structure are presented together. Non-degenerate two-soliton solutions can be classified as completely and partially non-degenerate solitons, corresponding to a variety of hump structures for two components. We also show some snapshots of these solitons at different moments. Moreover, a bound state for two-soliton solutions is depicted.
{"title":"Non-degenerate and degenerate soliton solutions to the semi-discrete vector nonlinear Schrödinger system","authors":"Yang-Yang Du , Yan-Nan Zhao , Hui-Qin Hao , Rui Guo , Jian-Wen Zhang","doi":"10.1016/j.wavemoti.2025.103657","DOIUrl":"10.1016/j.wavemoti.2025.103657","url":null,"abstract":"<div><div>In this paper, we derive the non-degenerate and degenerate one- and two-soliton solutions to the semi-discrete vector nonlinear Schrödinger system, which can describe the mean-field waves within the Bose–Einstein condensate system, via Hirota’s bilinear method. The plots with different hump structures for two components are shown under the appropriate restrictions of parameters. Non-degenerate one-soliton solutions that have the double-hump structure and degenerate one-soliton solutions that have the single-hump structure are presented together. Non-degenerate two-soliton solutions can be classified as completely and partially non-degenerate solitons, corresponding to a variety of hump structures for two components. We also show some snapshots of these solitons at different moments. Moreover, a bound state for two-soliton solutions is depicted.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103657"},"PeriodicalIF":2.5,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145334792","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 : 2025-10-13DOI: 10.1016/j.wavemoti.2025.103658
Tugce Sezer, Semra Ahmetolan, Ayse Peker-Dobie, Ali Demirci
This work examines the propagation of Rayleigh surface waves in an elastic half-space covered by a layer with spatially varying surface corrugation. The mathematical model is established within the framework of two-dimensional linear elasticity, considering general roughness profiles for both the upper free surface and the interface of the layer. A perturbation method is employed to derive analytical expressions for the displacement fields, and dispersion relations are obtained by enforcing the relevant boundary and continuity conditions. The influence of surface corrugation parameters on phase velocity and wave propagation is examined numerically for periodic roughness profiles using selected real material models. The results demonstrate that both the amplitude and geometric characteristics of the surface irregularities have a pronounced impact on the dispersion behaviour of Rayleigh waves. These findings provide new insights into wave propagation in layered elastic media with irregular boundaries and may inform future applications in wave-based sensing, nondestructive evaluation, and acoustic material design.
{"title":"Effects of surface roughness on generalised Rayleigh waves in elastic waveguides","authors":"Tugce Sezer, Semra Ahmetolan, Ayse Peker-Dobie, Ali Demirci","doi":"10.1016/j.wavemoti.2025.103658","DOIUrl":"10.1016/j.wavemoti.2025.103658","url":null,"abstract":"<div><div>This work examines the propagation of Rayleigh surface waves in an elastic half-space covered by a layer with spatially varying surface corrugation. The mathematical model is established within the framework of two-dimensional linear elasticity, considering general roughness profiles for both the upper free surface and the interface of the layer. A perturbation method is employed to derive analytical expressions for the displacement fields, and dispersion relations are obtained by enforcing the relevant boundary and continuity conditions. The influence of surface corrugation parameters on phase velocity and wave propagation is examined numerically for periodic roughness profiles using selected real material models. The results demonstrate that both the amplitude and geometric characteristics of the surface irregularities have a pronounced impact on the dispersion behaviour of Rayleigh waves. These findings provide new insights into wave propagation in layered elastic media with irregular boundaries and may inform future applications in wave-based sensing, nondestructive evaluation, and acoustic material design.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103658"},"PeriodicalIF":2.5,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145334791","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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