Wave Motion最新文献

{"title":"Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag","authors":"A.A. Youssef ,&nbsp;N.K. Amein ,&nbsp;F.A. Salama ,&nbsp;A.F. Ghaleb ,&nbsp;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":"2026-03-15","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}

{"title":"Stroh formalism for rotating functionally graded piezo-composite layered waveguide with non-ideal interface","authors":"Santan Kumar ,&nbsp;Kartik Paul ,&nbsp;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":"2026-03-15","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}

{"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":"2026-03-15","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}

{"title":"Study on acoustic radiation force of a viscoelastic spherical shell in a zero-order Mathieu beam","authors":"Junxin Li ,&nbsp;Jiajia Qu ,&nbsp;Yupei Qiao ,&nbsp;Xiaofeng Zhang ,&nbsp;Guangbin Zhang","doi":"10.1016/j.wavemoti.2026.103703","DOIUrl":"10.1016/j.wavemoti.2026.103703","url":null,"abstract":"<div><div>This paper studies the three-dimensional acoustic radiation force (ARF) of a fluid-filled viscoelastic spherical shell positioned arbitrarily in a zero-order Mathieu beam(zMB). A series of simulations were conducted to undertake a systematic investigation of the ARF of the shell, with a particular emphasis on the effects of beam parameters (dimensionless frequency, half-cone angle, ellipticity parameter) and material parameters (shell material, filling medium, relative thickness, particle position). The results demonstrated that increasing the ellipticity parameter <span><math><mi>q</mi></math></span> has the effect of reducing the amplitudes of both the transverse force and axial force, whilst concomitantly shifting the peak of transverse force towards larger half-cone angles. Due to the asymmetric distribution of the acoustic field, the transverse force in y-axial direction displays a distinct variation pattern in comparison to that in x-axial direction. Furthermore, the material and structural properties of the particles have been found to have a significant impact on ARF. Thick shells (<span><math><mrow><mi>h</mi><mo>∼</mo><mn>0.5</mn></mrow></math></span>) yield substantial ARF with a pattern analogous to solid spheres, while thin shells show reduced ARF magnitude and fewer frequency peaks. The fluid filling the shell also exerts a substantial influence on both the trend and the magnitude of variations of ARF. Moreover, the position of the particle in the beam exerts an influence on the ARF function. When the particle is close to the beam axis, it is displaced from the beam axis in the transverse plane. Conversely, when the particle is at a greater distance from the beam axis, the ARF exerts a force that draws the particle towards the beam axis. This study provides key theoretical support for the directional manipulation of viscoelastic structural particles in a zMB, facilitating its potential applications in acoustic tweezers, targeted drug delivery, and microfluidic sorting.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103703"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037319","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}

{"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":"2026-03-15","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}

{"title":"Exploring nonlinear wave dynamics through an extended (2+1)-dimensional nonlinear evolution equation: Integrability and pfaffian solutions","authors":"Majid Madadi ,&nbsp;Mustafa Inc ,&nbsp;Harun Bicer ,&nbsp;Ebru Cavlak Aslan","doi":"10.1016/j.wavemoti.2026.103700","DOIUrl":"10.1016/j.wavemoti.2026.103700","url":null,"abstract":"<div><div>This paper introduces a generalized (2+1)-dimensional nonlinear evolution equation, extending the classical Hirota bilinear framework to investigate novel aspects of nonlinear wave dynamics. By employing a combination of the Hirota bilinear method and the Pfaffian formulation, we systematically derive a rich variety of exact solutions, including multi-soliton waves, breathers, lump, periodic solutions, and complex hybrid structures. The study also examines the integrability of the proposed model, revealing that despite failing the Painlevé test, the equation admits integrability in the solitonic sense. The results highlight the model’s broad adaptability and its promise for use in diverse scientific fields, including nonlinear optical systems, fluid dynamics, and plasma research.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103700"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145976735","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}

{"title":"Dark solitons in the defocusing nonlinear Schrödinger equation with quintic terms on elliptic periodic wave background and inelastic collisions","authors":"Hanyu Wei ,&nbsp;Xin Wang ,&nbsp;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":"2026-03-15","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}

{"title":"Breathers and rogue waves on the periodic background in the Hirota and the Maxwell-Bloch equations","authors":"Yijie Zhao ,&nbsp;Zhaqilao","doi":"10.1016/j.wavemoti.2025.103696","DOIUrl":"10.1016/j.wavemoti.2025.103696","url":null,"abstract":"<div><div>For the three-component Hirota and Maxwell-Bloch equations, a general solution to the associated Lax pair is derived using the method of separation of variables and the method of variation of constants. Based on this general solution and the Darboux transformation, several types of nonlinear wave solutions are constructed. As three representative cases, breathers on the periodic background, Jacobi cn background, and Jacobi dn background are generated by taking the plane wave, the cn-periodic wave, and the dn-periodic wave as seed solutions, respectively. By choosing appropriate parameters, the corresponding dynamics and evolution of the three components are clearly revealed. For case 1, the one-breather and two-breather on the periodic background are obtained. In the case of one-breather on the periodic background, the background wave propagates along the t-axis, while the breather propagates along either the x-axis or the t-axis. For breathers on cn- and dn-periodic backgrounds, the breather travels along the t-axis, whereas the background wave propagates along the x-axis. Furthermore, in the degenerate case where the elliptic modulus m equals 1, breathers on the soliton background and two-soliton are also obtained. Next, by combining the Darboux transformation with the nonlinearization of the Lax pair, rogue waves on two types of periodic backgrounds are expressed in terms of the Jacobian elliptic functions cn and dn.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"142 ","pages":"Article 103696"},"PeriodicalIF":2.5,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884559","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}

{"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":"2026-03-15","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}

{"title":"Two-layer roll waves in rapid gravity currents on mild slopes","authors":"Boyuan Yu","doi":"10.1016/j.wavemoti.2025.103634","DOIUrl":"10.1016/j.wavemoti.2025.103634","url":null,"abstract":"<div><div>The nonlinear development of roll waves in two-layer gravity currents on mild slopes are numerically investigated using an integrated layer model including inertia effect. Periodic roll waves and roll-wave packets initiated by localized disturbance are examined for a realistic range of density and viscosity ratios. When a localized disturbance is introduced initially, the leading wave in the roll-wave packet for both of the layers (referred to as the ”front runner”) could develop exceedingly large peak depth and velocity which increase as the wave packet travels downstream. The upper-layer roll wave and lower-layer roll wave show different characteristics. The amplitude of upper-layer roll wave was found to be significantly larger than that of the lower-layer roll wave. Furthermore, peaks of upper-layer periodic roll waves or front runners always coincide with the shock-like wavefront, while peaks of lower-layer front runners with sufficiently large amplitudes are connected to the shock-like wavefront by a smooth profile. Simulations for three-dimensional two-layer flows using the integrated layer model extended to two dimensions demonstrate similar front-runner existence. However, the three-dimensional front runner has remarkably smaller peak depth and velocity than its unidirectional counterpart due to the transversal spreading of the wavefront.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103634"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227528","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}