Wave Motion最新文献

{"title":"Time scales of a low order harmonic resonance of short-crested gravity waves on deep water","authors":"Sylvert Paul ,&nbsp;Sirel C. Colón Useche ,&nbsp;Mansour Ioualalen","doi":"10.1016/j.wavemoti.2025.103497","DOIUrl":"10.1016/j.wavemoti.2025.103497","url":null,"abstract":"<div><div>Short-crested water waves (SCWs) are the genuine three-dimensional (3D) ocean waves. They host the phenomenon of harmonic resonances (HRs). The existence of HRs depends on their timescales, on whether or not they actually have time to develop. They are associated to superharmonic instabilities that are due to nonlinear quartet interactions. The low order HR(2,6) was chosen to match previous studies. Their multi-branch solutions and their normal forms are computed. Then, their conditions of occurrence, growth rate (inverse timescale) and persistence are discussed. It is shown that at incidence angles for which HR (2,6) occurs, its associated growth may be larger than, or at least of the same order as, those of the well-known modulational and 3D ‘horse-shoe’ pattern instabilities, which are the primary processes involved in a surface water wave field. Thus HRs seem likely to appear in a SCW field although other processes, that could inhibit their growth, are suggested.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103497"},"PeriodicalIF":2.1,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169414","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":"An approximate analytical solution on the scattering of sound by a Taylor Vortex","authors":"Xun Yuan ,&nbsp;Yiqing Shu ,&nbsp;Fuchun Zhang ,&nbsp;Penglai Guo ,&nbsp;Weicheng Chen ,&nbsp;Kai Fang ,&nbsp;Yingfang Zhang ,&nbsp;Xiaoji Zhou ,&nbsp;Jianqing Li","doi":"10.1016/j.wavemoti.2025.103502","DOIUrl":"10.1016/j.wavemoti.2025.103502","url":null,"abstract":"<div><div>Currently state-of-the-art approximate analytical solutions for the scattering of sound by a vortex are primarily based on the Plane-Wave Point Vortex (PWPV) model. In this model, the velocity of the point vortex flow field decays slowly over an infinite range, which leads to the scattered integral is ill-posed; the flow field velocity approaches infinity at the vortex core, which leads to the forward singularity. To address these two issues, based on the Plane-Wave Taylor Vortex (PWTV) model, we develop an approximate analytical solution for the scattering of sound by a vortex. In our model, the velocity of Taylor vortex flow field decays rapidly within a finite range, which can ensure the scattered integral is well-posed; the flow field velocity approaches zero at the vortex core, which can eliminate the forward singularity. We divide a Taylor vortex into a rigid vortex and a linear circular shear flow to make the scattering equation solvable. We reconstruct the composition of scattered waves and analyze the important impacts of diffraction on them. Next, after analyzing the reasons of the generation of side-lobes, we propose to replace Bessel diffraction term with the Gaussian function, which can eliminate side-lobes, thus to enhance the accuracy of the approximate solution. It is shown that the proposed approximate analytical solution is highly consistent with the numerical solution, which indicates this analytical solution can advance theoretical research on the scattering of sound by a vortex.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103502"},"PeriodicalIF":2.1,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169417","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":"From snaking to isolas: A one-active-site approximation in discrete optical cavities","authors":"R. Kusdiantara ,&nbsp;H. Susanto ,&nbsp;A.R. Champneys","doi":"10.1016/j.wavemoti.2025.103495","DOIUrl":"10.1016/j.wavemoti.2025.103495","url":null,"abstract":"<div><div>We investigate time-independent solutions of a discrete optical cavity model featuring saturable Kerr nonlinearity, a discrete version of the Lugiato–Lefever equation. This model supports continuous wave (uniform) and localized (discrete soliton) solutions. Stationary bright solitons arise through the interaction of dark and bright uniform states, forming a homoclinic snaking bifurcation diagram within the Pomeau pinning region. As the system approaches the anti-continuum limit (weak coupling), this snaking bifurcation widens and transitions into <span><math><mo>⊂</mo></math></span>-shaped isolas. We propose a one-active-site approximation that effectively captures the system’s behavior in this regime. The approximation also provides insight into the stability properties of soliton states. Numerical continuation and spectral analysis confirm the accuracy of this semianalytical method, showing excellent agreement with the full model.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103495"},"PeriodicalIF":2.1,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168400","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":"Time dependent wave propagation in waveguides with rectangular scattering regions","authors":"Afnan A. Aldosri ,&nbsp;Michael H. Meylan","doi":"10.1016/j.wavemoti.2025.103493","DOIUrl":"10.1016/j.wavemoti.2025.103493","url":null,"abstract":"<div><div>The time-dependent motion of an incident wave pulse in a waveguide, which is scattered by a rectangular region, is calculated. We consider the case where the channels are located symmetrically and when they form a right-angle connected by the larger region. The solution in the time domain is found from the frequency domain solutions. The frequency domain solutions are found by the mode matching method or eigenfunction matching method. The numerical solutions are built through a series of problems of increasing complexity. The time-dependent solutions are calculated using the frequency domain solutions and this calculation is performed as matrix multiplication. The visualization of the motion is given, and the wave scattering, reflection, and transmission in the time domain are shown.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103493"},"PeriodicalIF":2.1,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169412","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}

{"title":"Time-dependent modelling of a circular ice shelf","authors":"Rehab Aljabri ,&nbsp;Michael H. Meylan","doi":"10.1016/j.wavemoti.2025.103494","DOIUrl":"10.1016/j.wavemoti.2025.103494","url":null,"abstract":"<div><div>A mathematical model is presented to investigate the vibrations in the time domain of circular ice shelves under different boundary conditions. The system is modelled using the shallow-water equations, which reduces the problem to a sixth-order partial differential equation. It is shown that this equation is separable in cylindrical coordinates, and the solution is expanded in Bessel functions. Different boundary conditions are investigated, clamped and free circular and no-flux and no-pressure conditions. These are the standard simplified boundary conditions considered in ice shelf modelling. The modes of vibration are calculated and the time-dependent motion is simulated. Even for this idealised model, the ice shelf shows a very complex motion in the time domain.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103494"},"PeriodicalIF":2.1,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169413","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}

{"title":"Soliton methods and the black hole balance problem","authors":"Jörg Hennig","doi":"10.1016/j.wavemoti.2025.103490","DOIUrl":"10.1016/j.wavemoti.2025.103490","url":null,"abstract":"<div><div>This article is an extended version of a presentation given at KOZWaves 2024: The 6th Australasian Conference on Wave Science, held in Dunedin, New Zealand.</div><div>Soliton methods were initially introduced to study equations such as the Korteweg–de Vries equation, which describes nonlinear water waves. Interestingly, the same methods can also be used to analyse equilibrium configurations in general relativity. An intriguing open problem is whether a relativistic <span><math><mi>n</mi></math></span>-body system can be in stationary equilibrium. Due to the nonlinear effect of spin–spin repulsion of rotating objects, and possibly considering charged bodies with additional electromagnetic repulsion, the existence of such unusual configurations remains a possibility. An important example is a (hypothetical) equilibrium configuration with <span><math><mi>n</mi></math></span> aligned black holes. By studying a linear matrix problem equivalent to the Einstein equations for axisymmetric and stationary (electro-) vacuum spacetimes, we derive the most general form of the boundary data on the symmetry axis in terms of a finite number of parameters. In the simplest case <span><math><mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow></math></span>, this leads to a constructive uniqueness proof of the Kerr (–Newman) solution. For <span><math><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math></span> and vacuum, we obtain non-existence of stationary two-black-hole configurations. For <span><math><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math></span> with electrovacuum, and for larger <span><math><mi>n</mi></math></span>, it remains an open problem whether the well-defined finite solution families contain any physically reasonable solutions, i.e. spacetimes without anomalies such as naked singularities, magnetic monopoles, and struts.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103490"},"PeriodicalIF":2.1,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169410","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}

{"title":"Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation","authors":"Jiajie Wu,&nbsp;Yi Zhang,&nbsp;Xiangyun Wang,&nbsp;Jianan Wang","doi":"10.1016/j.wavemoti.2025.103491","DOIUrl":"10.1016/j.wavemoti.2025.103491","url":null,"abstract":"<div><div>This paper focuses on the exploration of diverse localized wave solutions for an extended reverse-time nonlocal nonlinear Schrödinger equation. We construct the corresponding binary Darboux transformation to derive localized wave solutions, which include solitons, breathers and rogue waves. Additionally, we analyze the interactions among these localized solitons and their dynamical properties.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103491"},"PeriodicalIF":2.1,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169418","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":"Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island","authors":"Dmitry P. Kovalev,&nbsp;Peter D. Kovalev","doi":"10.1016/j.wavemoti.2025.103492","DOIUrl":"10.1016/j.wavemoti.2025.103492","url":null,"abstract":"<div><div>An analysis of a time series of sea level oscillations with a total observation duration of about 14 years was carried out. The aim of the research was to study the possibilities of generating soliton-like waves in the form of wave packets with a soliton envelope. Bottom autonomous wave recorders models ARW-10 to ARW-14K, with one second discretization, were installed in the coastal zone of the southeastern coast of Sakhalin Island. The wave time series were subjected to bandpass filtering in the period range of 15 min to 3 h, revealing nine events in which the amplitudes of anomalous waves exceeded the background level by more than twice. For the selected events, modeling using the time-like form of the Korteweg–de Vries (KdV) equation was performed, showing that the soliton serves as the envelope for the registered wave packets. The possibility of describing such packets using breathers was considered, as each event presented a wave packet rather than a single wave, indicating modulation of the soliton envelope. A possible mechanism for the generation of soliton-like waves was considered, and a criterion for the range of propagation speeds of these waves was proposed, analogous to tsunami waves, as both are long waves. Using the speed range and distances to potential seismic sources of anomalous waves, determined from maps, intervals of seismic events from August 2008 to June 2022 with magnitudes greater than 5, corresponding to the possible arrival of anomalous waves at the coast of Sakhalin Island, were identified. From these waves, the one whose arrival time coincided with the observation time of the soliton-like wave was selected, and it was determined which earthquake could have generated the arriving wave. It was found that four events from the selected ones met the condition of soliton-like waves arriving from seismic sources at the observation point. It was shown that despite the assumptions made in choosing the criterion for the propagation speed of soliton-like waves, the interval of time during which a particular earthquake occurred was determined uniquely, and no other earthquakes fell into it. The obtained result suggests that the generation of soliton-like waves may be associated with seismic sources; however, this issue requires separate detailed studies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103492"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168967","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":"Superstep wavefield propagation","authors":"Tamas Nemeth ,&nbsp;Kurt Nihei ,&nbsp;Alex Loddoch ,&nbsp;Anusha Sekar ,&nbsp;Ken Bube ,&nbsp;John Washbourne ,&nbsp;Luke Decker ,&nbsp;Sam Kaplan ,&nbsp;Chunling Wu ,&nbsp;Andrey Shabelansky ,&nbsp;Milad Bader ,&nbsp;Ovidiu Cristea ,&nbsp;Ziyi Yin","doi":"10.1016/j.wavemoti.2024.103489","DOIUrl":"10.1016/j.wavemoti.2024.103489","url":null,"abstract":"<div><div>This paper describes how to propagate wavefields for arbitrary numbers of traditional time steps in a single step, called a superstep. We show how to construct operators that accomplish this task for finite-difference time domain schemes, including temporal first-order schemes in isotropic, anisotropic and elastic media, as well as temporal second-order schemes for acoustic media. This task is achieved by implementing a computational tradeoff differing from traditional single step wavefield propagators by precomputing propagator matrices for each model location for <span><math><mi>k</mi></math></span> timesteps (a superstep) and using these propagator matrices to advance the wavefield <span><math><mi>k</mi></math></span> time steps at once. This tradeoff separates the physics of the propagator matrix computation from the computer science of wavefield propagation and allows each discipline to provide their optimal modular solutions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103489"},"PeriodicalIF":2.1,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168966","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}

{"title":"Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory","authors":"T. Congy,&nbsp;H.T. Carr,&nbsp;G. Roberti,&nbsp;G.A. El","doi":"10.1016/j.wavemoti.2024.103480","DOIUrl":"10.1016/j.wavemoti.2024.103480","url":null,"abstract":"<div><div>We use Riemann problem for soliton gas as a benchmark for a detailed numerical validation of the spectral kinetic theory for the Korteweg–de Vries (KdV) and the focusing nonlinear Schrödinger (fNLS) equations. We construct weak solutions to the kinetic equation for soliton gas describing collision of two dense “polychromatic” soliton gases composed of a finite number of “monochromatic” components, each consisting of solitons with nearly identical spectral parameters of the scattering operator in the Lax pair. The interaction between the gas components plays the key role in the emergent, large-scale hydrodynamic evolution. We then use the solutions of the spectral kinetic equation to evaluate macroscopic physical observables in KdV and fNLS soliton gases and compare them with the respective ensemble averages extracted from the “exact” soliton gas numerical solutions of the KdV and fNLS equations. To numerically synthesise dense polychromatic soliton gases we develop a new method which combines recent advances in the spectral theory of the so-called soliton condensates and the effective algorithms for the numerical realisation of <span><math><mi>n</mi></math></span>-soliton solutions with large <span><math><mi>n</mi></math></span>.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103480"},"PeriodicalIF":2.1,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168399","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}