Wave MotionPub Date : 2024-12-14DOI: 10.1016/j.wavemoti.2024.103479
Xinxin Wang , Jiangong Yu , Bo Zhang , Lahoucine Elmaimouni , Pingmei Ming
{"title":"Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory","authors":"Xinxin Wang , Jiangong Yu , Bo Zhang , Lahoucine Elmaimouni , Pingmei Ming","doi":"10.1016/j.wavemoti.2024.103479","DOIUrl":"10.1016/j.wavemoti.2024.103479","url":null,"abstract":"<div><div>Phonon, phason, and electrical coupling characteristics of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates are studied by accounting for the nonlocal effect. The coupled dynamic models are derived based on the integral form of nonlocal theory and linear elasticity theory of piezoelectric quasicrystal. Subsequently, dispersion curves and displacement distributions are computed employing the Legendre orthogonal polynomial method. All influences of the phonon-phason coupling, piezoelectric and nonlocal effects on the wave characteristics are analyzed. Furthermore, a detailed analysis of the interaction between piezoelectric and nonlocal effects is provided. The results indicate that mode conversions take place when adjacent phonon and phason modes exhibit the same displacement symmetry, while mode intersections occur when the adjacent phonon and phason modes exhibit different displacement symmetries. The coupling of phonon and phason fields induces the mode conversion, and phonon-phason coupling and piezoelectric effect amplifies this phenomenon. The piezoelectric effect enhances the nonlocal effect, whereas the nonlocal effect weakens the piezoelectric effect, with a more pronounced interaction observed in phonon modes. The obtained results establish a theoretical reference for the design and optimization of piezoelectric nanoscale devices.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103479"},"PeriodicalIF":2.1,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168962","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 : 2024-12-14DOI: 10.1016/j.wavemoti.2024.103476
Fabio Vallejo
{"title":"The secular equation for elastic surface waves under boundary conditions of impedance type: A perspective from linear algebra","authors":"Fabio Vallejo","doi":"10.1016/j.wavemoti.2024.103476","DOIUrl":"10.1016/j.wavemoti.2024.103476","url":null,"abstract":"<div><div>Elastic surface waves under impedance boundary conditions are of great interest in a wide range of problems. However, the analysis of the associated secular equation, which provides the speed of the surface wave, is limited to specific cases due to its complicated nature. This work presents an alternative method, based on linear algebra tools, to deal with the secular equation for surface waves in an isotropic elastic half-space subjected to boundary conditions of impedance type. Our analysis shows that the associated secular equation does not vanish in the upper complex half-plane including the real axis. This implies the well-posedness of the problem. Interestingly, the full impedance boundary conditions proposed by Godoy et al. (2012) arise as a limit case. An approximation technique is introduced to extend the analysis from the considered problem to Godoy’s impedance boundary conditions. As a result, it is showed that the secular equation with full Godoy’s impedance boundary conditions does not vanish outside the real axis for arbitrary non-zero impedance parameter values. This is a crucial property for the well-posedness of the boundary value problem of partial differential equations, and thus crucial for the model to explain surface wave propagation. However, it has been verified only for particular cases of the latter class of boundary conditions including the stress-free case. The existence of a surface wave with a complex valued velocity is proved for a particular case.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103476"},"PeriodicalIF":2.1,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-12-09DOI: 10.1016/j.wavemoti.2024.103468
Ravindra Pethiyagoda , Santu Das , Michael H. Meylan
{"title":"Atmospheric pressure-driven surface wave propagation in a compressible ocean including static compression","authors":"Ravindra Pethiyagoda , Santu Das , Michael H. Meylan","doi":"10.1016/j.wavemoti.2024.103468","DOIUrl":"10.1016/j.wavemoti.2024.103468","url":null,"abstract":"<div><div>The surface waves generated by a moving atmospheric pressure field are calculated, including both the effects of compressibility and static background compression of the ocean. The solution is found by using the Laplace transformation in time and the Fourier transformation in space. The Laplace transform is inverted analytically, and the Fourier transform is inverted numerically to obtain the solution in the time domain. The impact of ocean compressibility and static compression on the three wave modes, namely the wave locked with the pressure field and the two free waves propagating in opposite directions, induced by an initial pressure field, is demonstrated. The inclusion of compressibility of the water reduces the phase speed of the waves. Although the complexity of the mathematical problem increases when static compression is included, we show that its impact on phase speed is as significant as compression alone. Further effects are observed as a result of compressibility. The free surface near the initial centre of the pressure field oscillates, and the phase of this oscillation changes when static compression is included. Also, acoustic-gravity modes are excited, dominated by the first mode. The evolution of waves over time shows the significant impact of the compressibility of the water.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103468"},"PeriodicalIF":2.1,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168401","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 : 2024-12-06DOI: 10.1016/j.wavemoti.2024.103467
Ruizhi Gong, Deng-Shan Wang
{"title":"Modulation theory of soliton−mean flow in Korteweg–de Vries equation with box type initial data","authors":"Ruizhi Gong, Deng-Shan Wang","doi":"10.1016/j.wavemoti.2024.103467","DOIUrl":"10.1016/j.wavemoti.2024.103467","url":null,"abstract":"<div><div>For the Korteweg–de Vries equation with box type initial data, the interaction between a trial soliton and large-scale dispersive mean flow is studied theoretically and numerically. The pure box initial value can cause rarefaction wave and dispersive shock wave, and can create an area of soliton train. The key to the interaction of soliton and mean flow is that the dynamic evolutions of the mean flow and the local soliton can be described by the same modulation system. The soliton modulation system is derived from the degenerations of the two-genus Whitham modulation system. Considering the influence of rarefaction wave, dispersive shock wave and soliton train on the trial soliton, in the framework of Whitham modulation theory, the equation describing the soliton trajectory and the changes in amplitude and phase shift are given explicitly. The predicted results are compared with the numerical simulations, which verifies the corrections of the theoretical analysis. The exotic interaction phenomena between soliton and mean flow found in this work have broad applications to shallow water soliton propagations and real soliton experiments in fluid dynamics.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103467"},"PeriodicalIF":2.1,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168393","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 : 2024-11-28DOI: 10.1016/j.wavemoti.2024.103455
Majid Madadi , Mustafa Inc
{"title":"Dynamics of localized waves and interactions in a (2+1)-dimensional equation from combined bilinear forms of Kadomtsev–Petviashvili and extended shallow water wave equations","authors":"Majid Madadi , Mustafa Inc","doi":"10.1016/j.wavemoti.2024.103455","DOIUrl":"10.1016/j.wavemoti.2024.103455","url":null,"abstract":"<div><div>This work investigates new exact solutions within a unique (2+1)-dimensional problem by combining the Hirota bilinear forms of the Kadomtsev–Petviashvili and the Shallow Water Wave equations. We obtain resonant Y-type and X-type soliton, breather, and lump waves by introducing novel limitations on the <span><math><mi>N</mi></math></span>-soliton. Additionally, it generates various types of solutions (bulk-soliton, fissionable soliton-lump, breather-lump, and soliton-breather-lump) based on velocity and module resonance conditions. Furthermore, we investigate the lump wave’s paths interacting with the waves prior to and following collision using the long-wave limit approach. We show that the lump wave either avoids collision with other waves or maintains a persistent state of collision with them by applying additional limitations. Specifically, we provide a series of figures depicting all solutions, comprehensively capturing their dynamical behavior and interactions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103455"},"PeriodicalIF":2.1,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142746292","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 : 2024-11-24DOI: 10.1016/j.wavemoti.2024.103457
Nadezhda I. Aleksandrova
{"title":"Transient longitudinal waves in 2D square lattices with Voigt elements under concentrated loading","authors":"Nadezhda I. Aleksandrova","doi":"10.1016/j.wavemoti.2024.103457","DOIUrl":"10.1016/j.wavemoti.2024.103457","url":null,"abstract":"<div><div>The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices of point masses connected by Voigt elements, under an antiplane concentrated loading. The emphasis is on obtaining analytical estimates for solutions using methods of asymptotic inversion of the Laplace and Fourier transforms in the vicinity of the quasi-front of infinitely long waves. In addition, the problems under study are solved by a finite difference method. The main result of the article is the asymptotic estimates of low-frequency and high-frequency perturbations in the 2D lattice for long periods of time under a transient load. It is shown that the obtained asymptotic estimates qualitatively and quantitatively agree with the results of numerical calculations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103457"},"PeriodicalIF":2.1,"publicationDate":"2024-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169411","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 : 2024-11-22DOI: 10.1016/j.wavemoti.2024.103454
Călin-Iulian Martin , Emilian I. Părău
{"title":"Hamiltonian formulation for interfacial periodic waves propagating under an elastic sheet above stratified piecewise constant rotational flow","authors":"Călin-Iulian Martin , Emilian I. Părău","doi":"10.1016/j.wavemoti.2024.103454","DOIUrl":"10.1016/j.wavemoti.2024.103454","url":null,"abstract":"<div><div>We present a Hamiltonian formulation of two-dimensional hydroelastic waves propagating at the free surface of a stratified rotational ideal fluid of finite depth, covered by a thin ice sheet. The flows considered exhibit a discontinuous stratification and piecewise constant vorticity, accommodating the presence of interfaces and of linearly sheared currents.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"133 ","pages":"Article 103454"},"PeriodicalIF":2.1,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142747052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wave MotionPub Date : 2024-11-21DOI: 10.1016/j.wavemoti.2024.103456
C. Senthil Kumar , R. Radha
{"title":"Exotic coherent structures and their collisional dynamics in a (3+1) dimensional Bogoyavlensky–Konopelchenko equation","authors":"C. Senthil Kumar , R. Radha","doi":"10.1016/j.wavemoti.2024.103456","DOIUrl":"10.1016/j.wavemoti.2024.103456","url":null,"abstract":"<div><div>In this paper, we analyse the (3+1) dimensional Bogoyavlensky–Konopelchenko equation. Using Painlevé Truncation approach, we have constructed solutions in terms of lower dimensional arbitrary functions of space and time. By suitably harnessing the arbitrary functions present in the solution, we have generated physically interesting solutions like periodic solutions, kinks, linear rogue waves, line lumps, dipole lumps and hybrid dromions. It is interesting to note that unlike in (2+1) dimensional nonlinear partial differential equations, the line lumps interact and undergo elastic collision without exchange of energy which is confirmed by the asymptotic analysis. The hybrid dromions are also found to retain their amplitudes during interaction undergoing elastic collision. The highlight of the results is that one also observes the two nonparallel ghost solitons as well whose intersection gives rise to hybrid dromions, a phenomenon not witnessed in (2+1) dimensions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"133 ","pages":"Article 103456"},"PeriodicalIF":2.1,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142747049","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 : 2024-11-21DOI: 10.1016/j.wavemoti.2024.103453
P. Panayotaros , R.M. Vargas-Magaña
{"title":"Low mode interactions in water wave model in triangular domain","authors":"P. Panayotaros , R.M. Vargas-Magaña","doi":"10.1016/j.wavemoti.2024.103453","DOIUrl":"10.1016/j.wavemoti.2024.103453","url":null,"abstract":"<div><div>We study gravity water waves in a domain with inclined lateral boundaries that make a <span><math><mrow><mn>45</mn></mrow></math></span>°angle with the horizontal axis. We consider free surface potential flow and a simplified model that contains quadratic nonlinear interactions among the normal modes. The particular geometry leads to classical semi-explicit expressions for the normal modes and frequencies, and we use this information to compute the mode interaction coefficients. We further use a partial normal form to compute the amplitude dependence of nonlinear frequency correction of the lowest frequency mode. We indicate the general computation and present numerical results for a truncations to a system for the two lowest modes.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103453"},"PeriodicalIF":2.1,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142746293","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 : 2024-11-21DOI: 10.1016/j.wavemoti.2024.103451
A.P. Misra, Gadadhar Banerjee
{"title":"Analytical and numerical study of plane progressive thermoacoustic shock waves in complex plasmas","authors":"A.P. Misra, Gadadhar Banerjee","doi":"10.1016/j.wavemoti.2024.103451","DOIUrl":"10.1016/j.wavemoti.2024.103451","url":null,"abstract":"<div><div>The formation of thermoacoustic shocks is studied in a fluid complex plasma. The thermoacoustic wave mode can be damped (or anti-damped) when the contribution from the thermoacoustic interaction is lower (or higher) than that due to the particle collision and/or the kinematic viscosity. In the nonlinear regime, the thermoacoustic wave, propagating with the acoustic speed, can evolve into small amplitude shocks whose dynamics are governed by the Bateman-Burgers equation with an additional nonlinear term that appears due to the particle collision and nonreciprocal interactions of charged particles providing the thermal feedback. The appearance of such nonlinearity can cause the shock fronts to be stable (or unstable) depending on the collision frequency remains below (or above) a critical value and the thermal feedback is positive. The existence of different kinds of shocks and their characteristics are analyzed analytically and numerically with the system parameters that characterize the thermal feedback, thermal diffusion, heat capacity per fluid particle, the particle collision and the fluid viscosity. A good agreement between analytical and numerical results is also noticed.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"133 ","pages":"Article 103451"},"PeriodicalIF":2.1,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142747050","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}