Wave Motion最新文献

{"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}

{"title":"Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term","authors":"K.R. Arun ,&nbsp;Rakesh Kumar ,&nbsp;Asha Kumari Meena","doi":"10.1016/j.wavemoti.2025.103614","DOIUrl":"10.1016/j.wavemoti.2025.103614","url":null,"abstract":"<div><div>A hybrid weighted essentially non-oscillatory (WENO) finite difference scheme is proposed for computing discontinuous solutions of the ten-moment Gaussian closure equations. A salient feature of the proposed scheme is the use of low-cost component-wise reconstruction of the numerical fluxes in smooth regions and non-oscillatory characteristic-wise reconstruction in the vicinity of discontinuities. A troubled-cell indicator which measures the smoothness of the solution, and built on utilising the smoothness indicators of the underlying WENO scheme, is employed to effectively switch between the two reconstructions. The resulting hybrid WENO scheme is simple and efficient, is independent of the order and type of the WENO reconstruction, and it can be used as an effective platform to construct finite difference schemes of any arbitrary high-order accuracy. For demonstration, we have considered the fifth order WENO-Z reconstruction. We have performed several 1D and 2D numerical experiments to illustrate the efficiency of the proposed hybrid algorithm and its performance compared to the standard WENO-Z scheme. Numerical case studies shows that the present algorithm achieves fifth order accuracy for smooth problems, resolves discontinuities in a non-oscillatory manner and takes 25%–50% less computational time than the WENO-Z scheme while retaining many of its advantages.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103614"},"PeriodicalIF":2.5,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144851977","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":"The soliton solutions for an integrable nonlocal reverse space–time fifth-order nonlinear Schrödinger equation by the inverse scattering transform","authors":"Huanhuan Lu","doi":"10.1016/j.wavemoti.2025.103619","DOIUrl":"10.1016/j.wavemoti.2025.103619","url":null,"abstract":"<div><div>This paper begins by deducing a reverse space–time nonlocal fifth-order nonlinear Schrödinger (NLS) equation, which arises from a simple yet significant symmetry reduction of the corresponding local system. Following this, the determinant form of <span><math><mi>N</mi></math></span> soliton solutions is thoroughly constructed based on established Gelfand–Levitan–Marchenko(GLM) equation. As a typical application, some exact solutions are derived, including one-soliton, two-soliton, and three-soliton solutions. The dynamical properties of these solutions are further explored and visualized through graphical analysis. Moreover, the integrability of the equation is established by presenting an infinite set of conserved densities. It is particularly noteworthy that we also present the expression for the three-soliton solution, which represents an unprecedented achievement in this field.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103619"},"PeriodicalIF":2.5,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144858286","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":"Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework","authors":"Zhihao Zhang ,&nbsp;Shunhong Lin ,&nbsp;Tiantian Li ,&nbsp;Xiao-Dong Bai ,&nbsp;Jie Peng","doi":"10.1016/j.wavemoti.2025.103618","DOIUrl":"10.1016/j.wavemoti.2025.103618","url":null,"abstract":"<div><div>Deep learning has successfully enabled the identification of first-order rogue waves in single-component Bose–Einstein condensates. However, the prediction of rogue waves and identification of high-order rogue waves in two-component coupled Bose–Einstein condensates remain unresolved challenges. In this paper, we extend the application of deep convolutional neural network to the detection of high-order rogue waves in two-component coupled Bose–Einstein condensates by interpreting the spatiotemporal evolution of wave functions as image data. The method successfully learns the complex dynamic behaviors of rogue waves in two-component coupled Bose–Einstein condensates governed by multiple parameters. Moreover, we efficiently locate a narrow, irregular region within the three-dimensional parameter space where second-order-like rogue waves arise. Compared with the tedious iterative processes of numerical methods, this approach significantly reduces computational time—a critical advantage given that time grows exponentially with the number of control parameters. This work provides a scalable tool for exploring complex behaviors in high-dimensional parameter spaces, with potential applications in nonlinear optics, plasma physics, and ocean engineering, where the rapid prediction of extreme waves is critical.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103618"},"PeriodicalIF":2.5,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144841861","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":"Nonreciprocal rotating waves and energy-balanced modes in odd elastic circular domain","authors":"Andi Lai,&nbsp;Yuhang Li,&nbsp;Kai Wu,&nbsp;Guo Fu","doi":"10.1016/j.wavemoti.2025.103622","DOIUrl":"10.1016/j.wavemoti.2025.103622","url":null,"abstract":"<div><div>Nonreciprocal linear elastic responses in active systems are described by the non-Hermitian elasticity tensor, referred to as odd elasticity. Existing studies have focused on the propagation characteristics of waves in infinite domains and the skin effects at the boundary, while the dynamics of odd elasticity in geometries with rotational symmetry remain unclear. In this work, we develop a dynamic model for odd elastic circular domain in polar coordinates and derive the wave solutions. We report a novel type of nonreciprocal rotating wave in rotationally symmetric geometries. This phenomenon is characterized by invariant modes, with amplitude either increasing or decaying depending on the direction of propagation. Furthermore, we demonstrate that when the gain and loss induced by two independent odd elastic effects are balanced, the system generates rotating waves with constant amplitude and chiral modes. These findings provide a foundation for the study of nonreciprocal angular momentum transfer and chiral mechanical resonators.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103622"},"PeriodicalIF":2.5,"publicationDate":"2025-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144831307","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":"Novel nonlocal three-component mKdV equations and classification of solutions","authors":"Mengli Tian ,&nbsp;Chunxia Li ,&nbsp;Fei Li ,&nbsp;Yue Li ,&nbsp;Yuqin Yao","doi":"10.1016/j.wavemoti.2025.103616","DOIUrl":"10.1016/j.wavemoti.2025.103616","url":null,"abstract":"<div><div>A kind of nonlocal reduction for the unreduced modified Korteweg–de Vries (mKdV) system is presented, which yields the reverse space–time nonlocal complex three-component mKdV (NCTC-mKdV) equation. This equation can be regarded as a new member of the Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy. We develop the Cauchy matrix approach to investigate the solution structure of the nonlocal system systematically, where the Sylvester equation is pivotal in constructing explicit solutions. In fact, the analytical expressions of the solutions can be classified according to the eigenvalue structure of the coefficient matrix <span><math><mi>K</mi></math></span> in the Sylvester equation. Specially, various explicit solutions of the NCTC-mKdV equation are derived, including soliton solution, Jordan solution and diagonal-Jordan-block mixed solution. Notably, the conditions for generating one-soliton solution, two-soliton solution, mixed solution, periodic solution, double-periodic solution, quasi-periodic solution and dark soliton solution are presented and their dynamic behaviors are analyzed. The results reveal the structural features of solutions to the three-component mKdV equation under nonlocal reduction.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103616"},"PeriodicalIF":2.5,"publicationDate":"2025-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144831306","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":"In-plane linear stress waves in layered media: I. Non-Hermitian degeneracies and modal chirality","authors":"Vahidreza Alizadeh,&nbsp;Alireza V. Amirkhizi","doi":"10.1016/j.wavemoti.2025.103610","DOIUrl":"10.1016/j.wavemoti.2025.103610","url":null,"abstract":"<div><div>We study the band structure and scattering of in-plane coupled longitudinal and shear stress waves in linear layered media and observe that exceptional points (EP) appear for elastic (lossless) media, when parameterized with real-valued frequency and tangential wave vector component. The occurrence of these EP pairs is not limited to the original stop bands. They could also appear in all mode pass bands, leading to the formation of new stop bands. The scattered energy near these locations is studied along with the associated polarization patterns. The broken phase symmetry is observed inside the frequency bands book-ended by these EP pairs. This is especially manifested by the chirality of the trajectory of the particle velocity, which gets selected by a “direction” of the wave, e.g. the imaginary part of normal component of the wave vector, or the energy flux direction just outside the band. Additionally, EP pairs also appear in the spectrum of the (modified) scattering matrix when mechanical gain is theoretically included to balance the loss in a parity-time symmetric finite structure. These EP pairs lead to amplification of transmission to above 1 and single-sided reflectivity, both phenomena associated with broken phase symmetry, with intriguing potential applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103610"},"PeriodicalIF":2.5,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867158","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":"Wave propagation model by time series hybrid element method","authors":"Bahman Ansari,&nbsp;Alireza Firoozfar","doi":"10.1016/j.wavemoti.2025.103615","DOIUrl":"10.1016/j.wavemoti.2025.103615","url":null,"abstract":"<div><div>In this study, a time domain boundary-finite element method is developed for solving wave propagation problems. By applying the weighted residual approach and using the static fundamental solutions as the weight function, the wave propagation equation is converted to simple boundary integral. In addition, the effects of domain integral related to inertia term are considered by applying the finite element method to the solution. Furthermore, after deriving the boundary-finite element (Hybrid) formulations, the solvable matrix of the equations in the discretized form is presented. In a novel approach, by estimating the temporal variations of the element nodes using Taylor and Fourier series, a time series discrete matrix is introduced for solving the equations which provides a higher degree of accuracy in compare to other time discretization approaches. Finally, the formulations and method are implemented into a computer algorithm and various examples are solved. The results demonstrated that the proposed time series hybrid approach (TSHEM) accurately models wave propagation problems with lower computational cost in compare to other numerical solutions, making it a preferable choice for solving complex problems with higher accuracy.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103615"},"PeriodicalIF":2.5,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757328","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}