Wave MotionPub Date : 2026-01-01Epub Date: 2025-10-01DOI: 10.1016/j.wavemoti.2025.103646
A. Atteya , Reem Altuijri , Kottakkaran Sooppy Nisar , Abdel-Haleem Abdel-Aty , M. Abd-Elzaher , Pralay Kumar Karmakar
{"title":"Elevating plasma physics: The role of higher-order nonlinearities in space dust shock waves with superthermal ions","authors":"A. Atteya , Reem Altuijri , Kottakkaran Sooppy Nisar , Abdel-Haleem Abdel-Aty , M. Abd-Elzaher , Pralay Kumar Karmakar","doi":"10.1016/j.wavemoti.2025.103646","DOIUrl":"10.1016/j.wavemoti.2025.103646","url":null,"abstract":"<div><div>This research explores the higher-order nonlinear and dissipative effects on dust acoustic shock waves in a complex plasma medium composed of inertial negative dust particles, Maxwellian electrons, and superthermal ions under the influence of polarization forces. Employing a perturbative approach, the research derives analytical descriptions of both first- and second-order potentials and electric fields, highlighting how these higher-order corrections significantly modify the shock wave structures. The analysis reveals that second-order potentials introduce negative contributions that reduce the overall wave amplitude, while the associated electric fields oppose the first-order fields, leading to self-regulating mechanisms that influence energy transport and wave stability. Numerical evaluations demonstrate how key plasma parameters, such as polarization strength, dust temperature, ion-to-electron density ratio, viscosity, and superthermality-affect phase velocity, nonlinearity, and shock profiles. The findings emphasize that including higher-order effects is crucial for accurately modeling shock dynamics in laboratory with direct relevance to astrophysical plasmas, notably the dynamics observed in planetary ring systems and cosmic dust environments, providing deeper insight into energy dissipation and wave evolution in complex dusty plasma systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103646"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269628","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}
Wave MotionPub Date : 2026-01-01Epub Date: 2025-10-10DOI: 10.1016/j.wavemoti.2025.103643
Byron Williams , Ali Abdolali , Usama Kadri
{"title":"Linear propagation of tsunami and acoustic–gravity waves on a sphere: Geometrical focusing and defocusing","authors":"Byron Williams , Ali Abdolali , Usama Kadri","doi":"10.1016/j.wavemoti.2025.103643","DOIUrl":"10.1016/j.wavemoti.2025.103643","url":null,"abstract":"<div><div>This study investigates the propagation of tsunami and acoustic–gravity waves at oceanic scales, accounting for the Earth’s curvature within a linear, potential flow framework. While local, near-field analyses often neglect Earth’s curvature and employ Cartesian or cylindrical coordinate systems, this work utilises spherical coordinates to examine wave behaviour over large distances. The analysis reveals that wave amplitudes experience a defocusing effect as they travel from the source (e.g., the Pole) toward the equator, followed by a focusing effect as they approach the antipodal point beyond the equator. A qualitative comparison is made with the 2022 Hunga Tonga–Hunga Ha’apai volcanic eruption in the South Pacific. The study models surface-gravity (tsunami) waves propagating through a compressible water layer, as well as atmospheric acoustic–gravity waves propagating through the air. The entire analysis is carried out within the framework of linear theory.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103643"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145332985","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":"PT symmetry preserving, symmetry breaking and propagation behaviors in degenerate and non-degenerate solitons beyond the nonlocal Manakov system","authors":"Yang-Yang Du , Yan-Nan Zhao , Rui Guo , Jian-Wen Zhang","doi":"10.1016/j.wavemoti.2025.103593","DOIUrl":"10.1016/j.wavemoti.2025.103593","url":null,"abstract":"<div><div>It is known that the four-wave mixing (FWM) not only serves as the basic paradigm for optical signal processing but can also result in the generation of more complex wave phenomena. In this paper, we investigate the properties of non-degenerate and degenerate solitons and their relevant collision dynamics for the generalized nonlocal Manakov system, which contains the FWM term. To start with, non-degenerate one-soliton solutions are derived by the Hirota’s bilinear method, and degenerate one- and two-soliton solutions (under specific restrictions on wave numbers) are also obtained in this way. Then, we illustrate the implications of the FWM for the humps of non-degenerate solitons briefly. To learn about the features of the nonlocalization, we obtain <span><math><mrow><mi>P</mi><mi>T</mi></mrow></math></span> symmetry preserving and symmetry breaking soliton solutions, and identify stable and unstable propagations of soliton evolution for different modes. Given that the propagations of the mixed modes are stable, we investigate two discrepant types of collisions for degenerate two-soliton solutions, which are shown not to be conserved in energy for the individual solitons after the asymptotic analyses are constructed. This energy non-conservation characteristic of the collisions is in contrast to the nonlocal Manakov system, which is attributed to the FWM. Finally, taking into account the particularity of wave velocity, we also present the localized resonant pattern for different collisions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103593"},"PeriodicalIF":2.1,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501345","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-07-23DOI: 10.1016/j.wavemoti.2025.103608
Xuemin Yao , Jinjie Wen , Yuanhang Li , Junfei Zhao
{"title":"Mechanism investigations on certain unbounded/bounded breather molecules and transformed molecular waves for an extended (3+1)-dimensional Jimbo–Miwa equation in fluid mechanics","authors":"Xuemin Yao , Jinjie Wen , Yuanhang Li , Junfei Zhao","doi":"10.1016/j.wavemoti.2025.103608","DOIUrl":"10.1016/j.wavemoti.2025.103608","url":null,"abstract":"<div><div>In this paper, we present mechanistic investigations on certain bounded/unbounded breather molecules and transformed molecular wave formations through systematic analysis for an extended (3+1)-dimensional Jimbo–Miwa equation in fluid dynamics. Through characteristic lines analysis, we establish transformed wave solutions bifurcating from breather modes under critical state transition conditions. Such solutions demonstrate temporally evolving characteristics manifested as dynamic amplitude modulations and parametric waveform deformations. Moreover, we systematically investigate breather or transformed molecular wave complexes as collisionless structures, where the fundamental constituents are identified as individual breather waves and novel transformed wave counterparts. Unbounded or bounded molecular wave complexes, comprising identical or distinct constituent components, maintain fixed phase-locked separation distances while demonstrating propagation stability governed by nonlinear coupling constraints. These findings establish a potential theoretical framework for experimental studies in fluid dynamics, while also offering novel perspectives on the behavior of molecular waves in broader nonlinear physical systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103608"},"PeriodicalIF":2.1,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686111","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-07-19DOI: 10.1016/j.wavemoti.2025.103605
Halis Yilmaz
{"title":"Quasideterminant solutions for the Wadati–Konno–Ichikawa equation","authors":"Halis Yilmaz","doi":"10.1016/j.wavemoti.2025.103605","DOIUrl":"10.1016/j.wavemoti.2025.103605","url":null,"abstract":"<div><div>We employ a modified Darboux transformation to derive quasideterminant solutions for the modified Wadati–Konno–Ichikawa (mWKI) equation, an equivalent form of the WKI equation. As particular examples, we present multi-soliton solutions for both the focusing and defocusing cases using a zero seed solution. Additionally, we derive breather and rogue wave solutions of the mWKI equation starting from a non-zero seed solution.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103605"},"PeriodicalIF":2.1,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685453","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-08-05DOI: 10.1016/j.wavemoti.2025.103610
Vahidreza Alizadeh, Alireza V. Amirkhizi
{"title":"In-plane linear stress waves in layered media: I. Non-Hermitian degeneracies and modal chirality","authors":"Vahidreza Alizadeh, 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":"2025-11-01","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-08-15DOI: 10.1016/j.wavemoti.2025.103627
Jan Erik H. Weber
{"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":"2025-11-01","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-07-07DOI: 10.1016/j.wavemoti.2025.103602
Yakov Itin
{"title":"Acoustic axes conditions revised","authors":"Yakov Itin","doi":"10.1016/j.wavemoti.2025.103602","DOIUrl":"10.1016/j.wavemoti.2025.103602","url":null,"abstract":"<div><div>The explanation of the basic acoustic properties of crystals requires a recognition of the acoustic axes. To derive the acoustic axes in a given material, one requires both a workable method and the necessary and sufficient criteria for the existence of the acoustic axes in a partial propagation direction. This paper’s primary input is an alternate minimal polynomial-based system of acoustic axes conditions. In this approach, we derive a novel additional characteristic of acoustic axes: the directions in which the minimal polynomial of the third order is reduced to that of the second order. Next, we offer a general solution, that utilizes a scalar and a unit vector for defining the acoustic tensor along the acoustic axis. It is shown that the scalar matches the eigenvalue of the reduced acoustic tensor, and the vector corresponds to the polarization into the single eigenvalue direction. We use the minimal polynomial construction to demonstrate the equivalence of different acoustic axis criteria. We demonstrate the applicability of this approach to actual computations of the acoustic axes and their fundamental properties (phase speeds and polarizations) for high symmetry cases, such as isotropic materials and RTHC crystals.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103602"},"PeriodicalIF":2.1,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144597538","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-07-21DOI: 10.1016/j.wavemoti.2025.103607
Neetu Malik , Komal Gajroiya , Jitander Singh Sikka
{"title":"Effect of horizontal and vertical components of initial stress on SH-wave propagation in a magneto-elastic fiber-reinforced (MEFR) layer","authors":"Neetu Malik , Komal Gajroiya , Jitander Singh Sikka","doi":"10.1016/j.wavemoti.2025.103607","DOIUrl":"10.1016/j.wavemoti.2025.103607","url":null,"abstract":"<div><div>This study aims to examine how the propagation of Shear Horizontal wave (SH-type waves) in a magneto-elastic fiber-reinforced (MEFR) layer with finite thickness is affected by initial stress. It rests upon a poroelastic transversely isotropic inhomogeneous half-space. The upper boundary of the layer is assumed to be rigid, and the layer and half-space are welded together. The displacement components of both the layer and half-space were derived and subsequently analyzed. The dispersion relation governing the propagation of SH-type waves was obtained and examined by applying appropriate boundary conditions for various scenarios. The confirmation of the mathematical model’s validity is evidenced by the simplification of the dispersion relation, which in turn streamlines the existing velocity wave equation for SH waves. The numerical computations were performed for distinct materials (steel and crystalline graphite) of the considered upper MEFR layer using the MATHEMATICA software, and the results were graphically presented. The dispersion curves provide insights into the impact of various parameters, including initial stress, magneto-elastic coupling, reinforcement, wave angle with respect to the magnetic field, heterogeneity of the half-space, porosity, and dynamic tortuosity, on wave propagation. Understanding the behavior of seismic waves can have significant practical implications for earthquake engineering and geophysics. Therefore, the findings of this study contribute to enhancing our knowledge of wave propagation, offering valuable insights for relevant fields.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103607"},"PeriodicalIF":2.1,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144702738","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}
Wave MotionPub Date : 2025-11-01Epub Date: 2025-08-30DOI: 10.1016/j.wavemoti.2025.103617
Guoqiang Li, Pei Zheng, Keming Zhang
{"title":"Rayleigh wave dispersion and attenuation characterized by couple-stress-based poroelasticity","authors":"Guoqiang Li, Pei Zheng, 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":"2025-11-01","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}