Wave Motion最新文献

{"title":"Rayleigh wave dispersion and attenuation characterized by couple-stress-based poroelasticity","authors":"Guoqiang Li,&nbsp;Pei Zheng,&nbsp;Keming Zhang","doi":"10.1016/j.wavemoti.2025.103617","DOIUrl":"10.1016/j.wavemoti.2025.103617","url":null,"abstract":"<div><div>In this paper, propagation of Rayleigh waves in a fluid-saturated porous solid is studied by using the couple-stress-based gradient theory, which incorporates the rotation gradient, and its work-conjugate counterpart, the couple-stress. In the frequency domain, wave equations involving a length parameter <span><math><mi>ℓ</mi></math></span>, that characterizes the microstructure of the material, are derived and, by using displacement potentials, coupled wave equations are reduced to four uncoupled wave equations governing the motions of <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-, <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-, <span><math><mrow><mi>S</mi><mi>V</mi></mrow></math></span>-, and <span><math><mrow><mi>S</mi><mi>H</mi></mrow></math></span>-waves. Based on the solutions of these equations, the dispersion equation for Rayleigh waves is obtained. Numerical results show that Rayleigh waves are dispersive at all frequencies in the range considered, unlike the velocity dispersion characterized by the classical theory, and the wave velocity is always higher than the conventional Rayleigh wave velocity. It is shown that the attenuation decreases as <span><math><mi>ℓ</mi></math></span> increases. The effects of porosity, the ratio of bulk modulus of the solid skeleton to the solid phase, and the length parameter on Rayleigh wave dispersion and attenuation are also investigated.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103617"},"PeriodicalIF":2.5,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144920049","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":"Pfaffian solution for dark–dark soliton to the coupled complex modified Korteweg–de Vries equation","authors":"Chenxi Li ,&nbsp;Xiaochuan Liu ,&nbsp;Bao-Feng Feng","doi":"10.1016/j.wavemoti.2025.103611","DOIUrl":"10.1016/j.wavemoti.2025.103611","url":null,"abstract":"<div><div>In this paper, we study the coupled complex modified Korteweg–de Vries (ccmKdV) equation by combining the Hirota’s method and the Kadomtsev–Petviashvili (KP) reduction method. First, we show that the bilinear form of the ccmKdV equation under nonzero boundary condition is linked to the discrete BKP hierarchy through Miwa transformation. Based on this finding, we construct the dark–dark soliton solution in the pfaffian form. The dynamical behaviors for one- and two-soliton are analyzed and illustrated.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103611"},"PeriodicalIF":2.5,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144931881","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":"N-soliton solutions of four-wave mixing coupled Schrödinger equations based on Riemann–Hilbert method","authors":"Xin Wang,&nbsp;Zhi-hui Zhang","doi":"10.1016/j.wavemoti.2025.103629","DOIUrl":"10.1016/j.wavemoti.2025.103629","url":null,"abstract":"<div><div>In this paper, a class of variable-coefficient coupled nonlinear Schrödinger equations with four-wave mixing effect is studied. Firstly, the constraint conditions that the function should satisfy when the equation is integrable are given by Painlevé analysis, and then the <span><math><mi>N</mi></math></span>-soliton solution of the equation with variable coefficients was directly given by using the variable substitution technique and the Riemann–Hilbert method. On this basis, the evolution figure of the 1, 2-soliton solution was given by numerical simulation. The effects of functions and related parameters on the soliton solution dynamics are analyzed and summarized. Through our research, we can provide a certain theoretical basis for the control and application of solitons in practice.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103629"},"PeriodicalIF":2.5,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144908448","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":"Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves","authors":"Majid Madadi ,&nbsp;Mustafa Inc","doi":"10.1016/j.wavemoti.2025.103624","DOIUrl":"10.1016/j.wavemoti.2025.103624","url":null,"abstract":"<div><div>We derive and characterize general rogue wave solutions (RWSs) of the (3+1)-dimensional Painlevé-type (P-type) integrable nonlinear evolution equation using the Hirota bilinear method in conjunction with the Kadomtsev–Petviashvili hierarchy reduction method (KPHRM). These solutions arise from intricate nonlinear interactions and exhibit diverse dynamical patterns, such as bright and dark triangular, pentagonal, and other structures, governed by key free parameters and the signs of system coefficients. Additionally, we address new nonlinear soliton solutions using the KPHRM in a determinantal framework. To further generalize the model, we incorporate spatiotemporal coefficients, which introduce additional nonlinear modulation. Using the Wronskian approach, another determinant-based technique, we construct <span><math><mi>N</mi></math></span>-soliton solutions for the variable-coefficient equation and analyze their nonlinear dynamics, demonstrating how parameter variation influences wave evolution and interactions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103624"},"PeriodicalIF":2.5,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144904573","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":"Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder","authors":"M.O. Sales ,&nbsp;L.D. da Silva ,&nbsp;M.S.S. Junior ,&nbsp;F.A.B.F. de Moura","doi":"10.1016/j.wavemoti.2025.103620","DOIUrl":"10.1016/j.wavemoti.2025.103620","url":null,"abstract":"<div><div>In this study, we investigate the propagation of shear vibrations in a rectangular system where disorder is introduced through the compressibility term, exhibiting Lorentzian spatial correlations. Our primary objective is to understand how these correlations influence the behavior and velocity of harmonic mode packets as they travel through the system. To achieve this, we employ a finite difference formalism to accurately capture the wave dynamics. Furthermore, we analyze how the spectral composition of the incident pulse affects wave propagation, shedding light on the interplay between disorder correlations and wave transport. By systematically exploring these factors, we aim to deepen our understanding of the fundamental mechanisms governing shear vibration propagation in disordered media.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103620"},"PeriodicalIF":2.5,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144886484","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":"Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation","authors":"Yanan Wang ,&nbsp;Minghe Zhang","doi":"10.1016/j.wavemoti.2025.103623","DOIUrl":"10.1016/j.wavemoti.2025.103623","url":null,"abstract":"<div><div>We construct novel non-autonomous positons, breather-positons, and breather molecules for the variable-coefficient Kundu-nonlinear Schrödinger equation —a key model for pulse propagation in optical fibers. Through degenerate Darboux transformation, we reveal intricate dynamics previously unattainable. For non-autonomous positon solution, generalized asymptotic analysis method yields exact expressions of asymptotic solitons with logarithmic trajectories. Arising from the different non-autonomous breather-positon, we give the non-autonomous rogue wave generation process and other results. For the non-autonomous breather molecule, the related dynamic behaviors under the periodic, exponential and hyperbolic function parameters are explored by the characteristic line analysis. This work provides a unified framework for investigating degenerate complex waves in inhomogeneous optical media.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103623"},"PeriodicalIF":2.5,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144890671","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":"Guided modes of helical waveguides","authors":"Jay Gopalakrishnan,&nbsp;Michael Neunteufel","doi":"10.1016/j.wavemoti.2025.103621","DOIUrl":"10.1016/j.wavemoti.2025.103621","url":null,"abstract":"<div><div>This paper studies guided transverse scalar modes propagating through helically coiled waveguides. Modeling the modes as solutions of the Helmholtz equation within the three-dimensional (3D) waveguide geometry, a propagation ansatz transforms the mode-finding problem into a 3D quadratic eigenproblem. Through an untwisting map, the problem is shown to be equivalent to a 3D quadratic eigenproblem on a straightened configuration. Next, exploiting the constant torsion and curvature of the Frenet frame of a circular helix, the 3D eigenproblem is further reduced to a two-dimensional (2D) eigenproblem on the waveguide cross section. All three eigenproblems are numerically treated. As expected, significant computational savings are realized in the 2D model. A few nontrivial numerical techniques are needed to make the computation of modes within the 3D geometry feasible. They are presented along with a procedure to effectively filter out unwanted non-propagating eigenfunctions. Computational results show that the geometric effect of coiling is to shift the localization of guided modes away from the coiling center. The variations in modes as coiling pitch is changed are reported considering the example of a coiled optical fiber.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103621"},"PeriodicalIF":2.5,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896325","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":"Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space","authors":"Selina Hossain ,&nbsp;Koushik Nandi ,&nbsp;Soumen De","doi":"10.1016/j.wavemoti.2025.103625","DOIUrl":"10.1016/j.wavemoti.2025.103625","url":null,"abstract":"<div><div>The present work investigates the generation and propagation of wave motion produced by initial disturbances in a finite-depth ocean with an elastic bottom, influenced by a constant magnetic field acting in the normal direction of wave propagation. The objective is to derive an analytical solution to the Cauchy–Poisson problem for an ocean over an elastic bottom, modeled as an elastic solid medium, in presence of a uniform magnetic field. The fluid is assumed to be incompressible and is bounded above by a free surface and below by a homogeneous magnetoelastic half-space. By applying linear theory of water waves and linear elasticity theory for solids, the physical problem is formulated as an initial boundary value problem. The Laplace–Fourier integral transform method is employed to obtain analytical expressions for the free surface elevation and the vertical displacement of the seabed in the form of multiple infinite integrals. The method of steepest descent approximation is then applied to evaluate these integrals asymptotically. The results, illustrated through figures, highlight the effects of various key physical parameters on wave behavior. The dispersion relation governing the wave motion is also derived and analyzed. The findings reveal that the magnetic field significantly alters wave characteristics and mitigates wave impact. Additionally, variations in pressure and shear wave velocities are found to have a notable influence on wave propagation. Validation is carried out by comparing the results with existing literature for the special case of a rigid seabed.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103625"},"PeriodicalIF":2.5,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867159","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":"Ultrasonic field estimation for random P -and S-wavenumbers in isotropic solids using DPSM","authors":"Ayush Thakur ,&nbsp;Nur M.M. Kalimullah ,&nbsp;Amit Shelke ,&nbsp;Budhaditya Hazra ,&nbsp;Tribikram Kundu","doi":"10.1016/j.wavemoti.2025.103628","DOIUrl":"10.1016/j.wavemoti.2025.103628","url":null,"abstract":"<div><div>The measurement of elastic constants often shows randomness, which consequently affects the propagation of P- and S-waves in a solid material. In the theory of wave propagation, longitudinal and transverse waves are characterised using P-and-S wavenumbers (<span><math><msub><mi>k</mi><mi>p</mi></msub></math></span> and <span><math><msub><mi>k</mi><mi>s</mi></msub></math></span>), which can be modelled as a random variable to simulate random ultrasonic fields. In this research work, an efficient and accurate solution technique to model random wave propagation due to random wavenumbers using Distributed point source method (DPSM) is developed. DPSM is a semi-analytical method that requires Green’s function (GF) solution for producing ultrasonic fields in homogeneous or heterogeneous solids and near the fluid-solid interface. The generation of ultrasonic fields at higher frequencies and in complex structures requires a large number of distributed point sources, thereby leading to the computation of a greater number of GFs. Therefore, the numerical calculation of random wavefields increases the computational complexity. An analytical model to approximate first-order and second-order moments of the displacement GF solutions for isotropic solid corresponding to randomly distributed P- and S-wavenumbers is proposed. The statistical moments (mean and variance) of ultrasonic fields (stresses and displacement fields) near the fluid-solid interface and in the solid half-space are calculated using the proposed theoretical model. The efficacy and accuracy of the proposed model for normally distributed wavenumbers are illustrated through two numerical analyses. Initially, the mean ultrasonic fields such as displacement and stress fields are evaluated using both the proposed analytical model and Monte Carlo (MC) simulation for 1 MHz excitation frequency. Mean and standard deviations of the total scattered wavefields are computed near the interface and along the solid medium. Further, to check the robustness of the proposed analytical model ultrasonic fields for 2.25 MHz excitation frequency are computed for the same problem configuration and the mean fields are compared with the MC simulation. The computed mean displacement GF solutions and ultrasonic fields using the proposed model for normally distributed wavenumbers match precisely with the MC simulation. Further, the standard deviation of the ultrasonic fields for normally distributed wavenumbers is estimated for different transducer frequencies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103628"},"PeriodicalIF":2.5,"publicationDate":"2025-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896336","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":"Eulerian contributions to the particle velocity in Stokes and Gerstner waves","authors":"Jan Erik H. Weber","doi":"10.1016/j.wavemoti.2025.103627","DOIUrl":"10.1016/j.wavemoti.2025.103627","url":null,"abstract":"<div><div>For inviscid periodic wave motion, we derive a novel expression in Lagrangian variables for the Stokes drift, which is valid for rotational as well as irrotational waves. The derivation confirms that the Lagrangian mean velocity can be expressed as the sum of the Eulerian mean velocity and the Stokes drift. However, from the Stokes drift part of this expression, we find that the rotational Gerstner wave has a non-zero Stokes drift. Since the Lagrangian mean velocity is zero for this particular wave, we obviously must have a non-zero Eulerian mean velocity in this case, cancelling the Stokes drift. To discuss this problem in detail, we return to the basic kinematics of periodic wave motion in fluids. We avoid time averaging and consider the classic problem of how the Lagrangian particle velocity develops in time, resulting in a Eulerian velocity (expressed in Lagrangian variables) plus the Stokes velocity. We discuss the implication for irrotational deep-water Stokes waves and rotational Gerstner waves. It is demonstrated that the Eulerian velocity, expressed in Lagrangian variables, is different for the two wave types. This explains why the Lagrangian mean velocity in the Stokes wave is equal to the Stokes drift, while it is zero for the Gerstner wave.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103627"},"PeriodicalIF":2.5,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867157","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}