Wave Motion最新文献_第3页

Volumes for rogue waves of coupled equations 耦合方程流氓波的体积

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-09-04 DOI: 10.1016/j.wavemoti.2024.103397

引用次数: 0

The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach 用达尔布变换方法求解另一双分量卡马萨-霍姆方程的多孑L解

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-28 DOI: 10.1016/j.wavemoti.2024.103396

引用次数: 0

Envelope vector solitons in nonlinear flexible mechanical metamaterials 非线性柔性机械超材料中的包络矢量孤子

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-26 DOI: 10.1016/j.wavemoti.2024.103394

{"title":"Envelope vector solitons in nonlinear flexible mechanical metamaterials","authors":"","doi":"10.1016/j.wavemoti.2024.103394","DOIUrl":"10.1016/j.wavemoti.2024.103394","url":null,"abstract":"<div><p>In this paper, we employ a combination of analytical and numerical techniques to investigate the dynamics of lattice envelope vector soliton solutions propagating within a one-dimensional chain of flexible mechanical metamaterial. To model the system, we formulate discrete equations that describe the longitudinal and rotational displacements of each individual rigid unit mass using a lump element approach. By applying the multiple-scales method in the context of a semi-discrete approximation, we derive an effective nonlinear Schrödinger equation that characterizes the evolution of rotational and slowly varying envelope waves from the aforementioned discrete motion equations. We thus show that this flexible mechanical metamaterial chain supports envelope vector solitons where the rotational component has the form of either a bright or a dark soliton. In addition, due to nonlinear coupling, the longitudinal displacement displays kink-like profiles thus forming the 2-components vector soliton. These findings, which include specific vector envelope solutions, enrich our knowledge on the nonlinear wave solutions supported by flexible mechanical metamaterials and open new possibilities for the control of nonlinear waves and vibrations.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098922","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}

引用次数: 0

Particle trajectories in the KP-II equation KP-II 公式中的粒子轨迹

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-17 DOI: 10.1016/j.wavemoti.2024.103392

{"title":"Particle trajectories in the KP-II equation","authors":"","doi":"10.1016/j.wavemoti.2024.103392","DOIUrl":"10.1016/j.wavemoti.2024.103392","url":null,"abstract":"<div><p>In the current work, we consider particle trajectories beneath traveling soliton solutions described by the Kadomtsev–Petiviashvili-II (KP-II) equation, which is a model for small-amplitude water waves in shallow water. The KP-II equation has a large number of exact solutions describing crossing line solitons. Here, we describe the particle drift induced by the single line soliton and various two- and three-soliton solutions on a two-dimensional horizontal domain.</p><p>First, the derivation of the KP-II equation is used to exhibit expressions for the three components of the fluid velocity vector induced by a surface wave profile given by the KP-II equation. These velocity components can be used to specify a coupled system of ordinary differential equations (ODEs) which describe the motion of a fluid particle. Given an initial position inside the fluid for a specific particle, as well as continuously providing time-dependent values for the surface deflection, the ODE system can be solved numerically to find the particle path induced by the passage of a wave. A special numerical integration grid tracking the particle is used to handle integral terms occurring in the fluid velocity expressions.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524001227/pdfft?md5=cfefd7c6242a16e86cc03346fae63c3a&pid=1-s2.0-S0165212524001227-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142048889","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}

引用次数: 0

Higher-order breather and interaction solutions to the (3+1)-dimensional Mel’nikov equation 3+1）维梅尔尼科夫方程的高阶呼吸解和交互解

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-17 DOI: 10.1016/j.wavemoti.2024.103395

引用次数: 0

Breathing discrete nonlinear Schrödinger vortices 会呼吸的离散非线性薛定谔漩涡

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-12 DOI: 10.1016/j.wavemoti.2024.103393

{"title":"Breathing discrete nonlinear Schrödinger vortices","authors":"","doi":"10.1016/j.wavemoti.2024.103393","DOIUrl":"10.1016/j.wavemoti.2024.103393","url":null,"abstract":"<div><p>Breathing discrete vortices are obtained as numerically exact and generally quasiperiodic, localized solutions to the discrete nonlinear Schrödinger equation with cubic (Kerr) on-site nonlinearity, on a two-dimensional square lattice with nearest-neighbor couplings. We identify and analyze three different types of solutions characterized by circulating currents and time-periodically oscillating intensity distributions, two of which have been discussed in earlier works while the third being, to our knowledge, presented here for the first time. (i) A vortex-breather, constructed from the anticontinuous limit as a superposition of a single-site breather and a discrete vortex surrounding it, where the breather and vortex are oscillating at different frequencies. (ii) A charge-flipping vortex, constructed from an anticontinuous solution with an even number of sites on a closed loop, with alternating sites oscillating at different frequencies. (iii) A breathing vortex, constructed by continuation of a non-resonating linear internal eigenmode of a stationary discrete vortex. We illustrate by examples, using numerical Floquet analysis for solutions obtained from a Newton scheme, that linearly stable solutions exist from all three categories, at sufficiently strong discreteness.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524001239/pdfft?md5=a9323042969a74ceee36cd4d691192c0&pid=1-s2.0-S0165212524001239-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141997612","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}

引用次数: 0

Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation 波传播随机分析中的多项式混沌扩展与蒙特卡罗模拟

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-08-09 DOI: 10.1016/j.wavemoti.2024.103390

{"title":"Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation","authors":"","doi":"10.1016/j.wavemoti.2024.103390","DOIUrl":"10.1016/j.wavemoti.2024.103390","url":null,"abstract":"<div><p>The paper deals with the propagation of a stochastic wave in an elastic medium using the example of a seismic wave in a ground medium. Identification of subsoil parameters is never exact or complete which justifies the use of random field models or random variable models for input data; thus, the response of the subsoil is also random. In this paper and in the context of random variables, the focus is on a sensitivity analysis addressing the question of how the uncertainty of the input data (subgrade parameters) influences the obtained results (displacements). Two different methods of stochastic analysis are presented—the intrusive polynomial chaos approach supported by the Galerkin projection and Monte Carlo simulation—and compared by using an example of wave propagation in the elastic half-plane. Consistency in the results of both approaches has been achieved; however, the calculation efficiencies differ. The advantages and disadvantages of both approaches are discussed. The upper subsoil layer influences the variances of the random solutions much more than does the lower layer.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524001203/pdfft?md5=e1428206dbcf4846360c7df85c79bb98&pid=1-s2.0-S0165212524001203-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142048438","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}

引用次数: 0

Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media 光线追踪中的经典力学和拉格朗日力学：非均质介质的可优化框架

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-07-27 DOI: 10.1016/j.wavemoti.2024.103391

{"title":"Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media","authors":"","doi":"10.1016/j.wavemoti.2024.103391","DOIUrl":"10.1016/j.wavemoti.2024.103391","url":null,"abstract":"<div><p>Ray tracing is crucial for analyzing wave behaviors in diverse applications. This study presents an approach that extends beyond traditional methods, which typically involve solving second–order differential equations to determine ray trajectories. Leveraging classical momentum–impulse relations and the system’s Lagrangian, we establish a set of intuitive first integrals that circumvent the need for direct differential solutions, paving the way for optimization techniques. Our method employs the “shooting method” a technique for approximating solutions to differential equations by iteratively applying initial conditions. We introduce a novel momentum cost function that streamlines angle determination in anisotropic environments, a significant departure from conventional practices. Numerical validations demonstrate the robustness of our approach, confirming its efficacy in handling both sharp and gradual refractive index changes with high accuracy. The results also highlight the computational intensity required in anisotropic conditions, suggesting potential areas for efficiency improvements. This groundwork not only enhances current understanding but also opens avenues for future research into more complex media.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141839717","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}

引用次数: 0

Numerical and experimental investigations on wave transmission reduction using vegetation models 利用植被模型减少波浪传播的数值和实验研究

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-07-20 DOI: 10.1016/j.wavemoti.2024.103389

{"title":"Numerical and experimental investigations on wave transmission reduction using vegetation models","authors":"","doi":"10.1016/j.wavemoti.2024.103389","DOIUrl":"10.1016/j.wavemoti.2024.103389","url":null,"abstract":"<div><p>Numerical and experimental investigations were conducted using vegetation models with varying leaf thicknesses, meadow lengths, and friction coefficients, to evaluate the efficacy of vegetation in reducing wave transmission under different wave heights, periods, and submergence conditions. A modified shallow-water model considering the effect of friction coefficient as a function of several wave characteristics was developed. The model was solved numerically using a staggered finite volume model. The numerical model was validated using experimental data. Good agreement was observed between the experimental and numerical results, particularly in terms of the wave amplitude and phase. A genetic algorithm was used to derive empirical formulas using the friction coefficient as a function of different vegetation and wave parameters. The results showed that increasing the leaf thickness increased the friction coefficient and reduced the wave transmission. However, increasing the meadow length had a greater effect than increasing the leaf thickness. An emergent meadow covered the entire water column. Hence, it yielded the highest friction coefficient and wave transmission reduction among all tested submergence conditions. A sensitivity analysis was performed to assess the effects of the wave height, wave period, and leaf thickness. The results indicated that the maximum reduction in wave transmission was achieved under emergent conditions with high wave energies, short wavelengths, and thick leaves. This was attributed to enhanced wave–vegetation interaction, wave breaking, and energy dissipation. The observations of this study will aid coastal engineers in selecting the optimal leaf height, leaf thickness, and meadow length to achieve the desired reduction in wave transmission.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141953088","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}

引用次数: 0

Interfacial waves in a piezoelectric/piezomagnetic/piezoelectric structure with magneto-electro-mechanical imperfect interfaces 具有磁电机械不完美界面的压电/压磁/压电结构中的界面波

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-07-14 DOI: 10.1016/j.wavemoti.2024.103384

引用次数: 0