Wave Motion最新文献_第8页

Planar Lorentz invariant velocities with a wave equation application 应用波方程的平面洛伦兹不变速度

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-06-10 DOI: 10.1016/j.wavemoti.2024.103368

James M. Hill

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引用次数: 0

Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides 在弱双折射波导中传播的矢量光脉冲的孤子产生和守恒定律

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-06-08 DOI: 10.1016/j.wavemoti.2024.103356

J.C. Ndogmo , H.Y. Donkeng

{"title":"Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides","authors":"J.C. Ndogmo , H.Y. Donkeng","doi":"10.1016/j.wavemoti.2024.103356","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103356","url":null,"abstract":"<div><p>The principal algebra <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> of coupled nonlinear Schrödinger equations describing the propagation of polarized optical pulses and involving four-wave mixing terms is obtained in terms of the three arbitrary labelling parameters of the system of equations. This algebra is found to be five-dimensional, indicating the richness in symmetries of the system. The most general symmetry group transformation by generators of <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> is found and it is shown that this transformation preserves the boundedness of solutions, and an example of transformation of a soliton solution into a completely new soliton of a different type is presented. Moreover, it is explained how an infinite sequence of bounded solutions can thus be generated, yielding new solitons. Several other important properties of solutions and symmetry group transformations of the system are also demonstrated. As the system of Schrödinger equations under study turns out to be of Lagrange type, conservation laws associated with all variational symmetries of <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> are constructed and interpreted. Some symmetry reductions of the system are also derived.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"130 ","pages":"Article 103356"},"PeriodicalIF":2.4,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141325106","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

Integrable approximations of dispersive shock waves of the granular chain 颗粒链分散冲击波的整数近似值

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2024-06-07 DOI: 10.1016/j.wavemoti.2024.103352

Christopher Chong , Ari Geisler , Panayotis G. Kevrekidis , Gino Biondini

引用次数: 0

The dynamics of some exact solutions to a (3+1)-dimensional sine-Gordon equation (3+1)维正弦-戈登方程一些精确解的动力学特性

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-06-05 DOI: 10.1016/j.wavemoti.2024.103354

Jiaming Guo, Maohua Li

引用次数: 0

Novel localized wave of modified Kadomtsev–Petviashvili equation 修正的卡多姆采夫-彼得维亚什维利方程的新局部波

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-25 DOI: 10.1016/j.wavemoti.2024.103353

Ming Wang, Tao Xu, Guoliang He

引用次数: 0

Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct 基于单向方法的域分解法，用于部分内衬管道中的声音传播

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-24 DOI: 10.1016/j.wavemoti.2024.103351

Maëlys Ruello , Clément Rudel , Sébastien Pernet , Jean-Philippe Brazier

{"title":"Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct","authors":"Maëlys Ruello , Clément Rudel , Sébastien Pernet , Jean-Philippe Brazier","doi":"10.1016/j.wavemoti.2024.103351","DOIUrl":"10.1016/j.wavemoti.2024.103351","url":null,"abstract":"<div><p>A numerical factorization method of the unidirectional propagation operators induced by the linearized Euler and Navier–Stokes equations is performed to construct a new One-Way approach to compute the sound radiation in a partially lined duct. The complex phenomena of reflection and transmission of incident waves originating from discontinuities in the duct wall are accurately taken into account by an iterative domain decomposition method. Furthermore, the proposed factorization approach allows both the derivation of the lined duct scattering matrix and an in-depth understanding of the impact of the acoustic liner on left- and right-going waves coming from a transmission or a reflection. Finally, the efficiency of the numerical method is shown based on a classical benchmark with two types of baseflows (laminar and turbulent Poiseuille flows) and by comparison with other numerical and experimental results. An unstable surface mode is observed at 1000 Hz, and we find good agreement with experimental data for the turbulent mean flow associated with the One-Way Navier–Stokes equations.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"130 ","pages":"Article 103351"},"PeriodicalIF":2.4,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141137488","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

N-soliton solutions and their dynamic analysis to the generalized complex mKdV equation 广义复数 mKdV 方程的 N 索利子解及其动态分析

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-15 DOI: 10.1016/j.wavemoti.2024.103350

Xinshan Li , Ting Su , Jingru Geng

引用次数: 0

Propagation of dark solitons of DNLS equations along a large-scale background DNLS 方程的暗孤子沿大尺度背景传播

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-15 DOI: 10.1016/j.wavemoti.2024.103349

A.M. Kamchatnov, D.V. Shaykin

引用次数: 0

Bound states in the continuum for antisymmetric lamb modes in composite plates made of isotropic materials 各向同性材料制成的复合板中的非对称λ模的连续状态。

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-15 DOI: 10.1016/j.wavemoti.2024.103348

Nan Gao , Ricardo Martin Abraham-Ekeroth , Daniel Torrent

{"title":"Bound states in the continuum for antisymmetric lamb modes in composite plates made of isotropic materials","authors":"Nan Gao , Ricardo Martin Abraham-Ekeroth , Daniel Torrent","doi":"10.1016/j.wavemoti.2024.103348","DOIUrl":"10.1016/j.wavemoti.2024.103348","url":null,"abstract":"<div><p>In this study, we report a numerical design and observation of bound states in the continuum (BICs) for Lamb waves. BICs for elastic-wave systems, especially in non-periodic configurations, are difficult to obtain due to their intricate polarization states. However, the study in this matter has become very important, especially in the field of opto-mechanics or other multi-field couplings at micro or nanoscales. To illustrate the design concept, we simulate the introduction of a piece of silica (SiO<sub>2</sub>) into a thin infinite Si plate and show that, for specific aspect ratios, BICs for elastic waves can be predicted. We present numerical results for both two-dimensional (2D) rectangular plates and three-dimensional (3D) disk structures. Moreover, we also investigate the modal contributions of both the background and inclusion media during the occurrence of BICs, further verifying the physical background of our design strategy. Although we have focused our work on asymmetric Lamb modes, the current method can also be applied to construct other types of elastic-wave BICs, providing a powerful tool for metamaterial device prototyping based on the control or guiding of elastic waves.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103348"},"PeriodicalIF":2.4,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524000787/pdfft?md5=55a6c55c7f51fb4b9e5e8d8d44736fa4&pid=1-s2.0-S0165212524000787-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141024453","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

Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation 耦合修正非线性薛定谔方程的孤子分子和呼吸正子解

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-14 DOI: 10.1016/j.wavemoti.2024.103347

Tao Xu , Jinyan Zhu

{"title":"Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation","authors":"Tao Xu , Jinyan Zhu","doi":"10.1016/j.wavemoti.2024.103347","DOIUrl":"10.1016/j.wavemoti.2024.103347","url":null,"abstract":"<div><p>The coupled modified nonlinear Schrödinger equation, which can be regarded as a combination of nonlinear Schrödinger and derivative nonlinear Schrödinger equations, is investigated by Darboux transformation (DT) method. Based on the vector modified derivative nonlinear Schrödinger equation spectral problem, the related Lax pair and DT in compact determinant form are all successfully constructed to ensure integrability of the coupled modified nonlinear Schrödinger equation. According to DT method and the limiting technique, two main types of solutions that soliton molecules (SMs) and breather positon (B-P) solutions are systematically discussed. Beginning form zero plane wave backgrounds, the general <span><math><mrow><mi>M</mi><mo>−</mo></mrow></math></span>SM-<span><math><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>M</mi><mo>)</mo></mrow></math></span>-soliton solutions (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><mi>N</mi></mrow></math></span>), including <span><math><mi>M</mi></math></span> SMs and <span><math><mrow><mi>N</mi><mo>−</mo><mi>M</mi></mrow></math></span> solitons, are subtly derived by the received DT. In particular, two degenerate cases can be reduced from the above general solutions, i.e., <span><math><mi>N</mi></math></span>-SM solutions (<span><math><mrow><mi>M</mi><mo>=</mo><mi>N</mi></mrow></math></span>) and <span><math><mi>N</mi></math></span>-soliton solutions (<span><math><mrow><mi>M</mi><mo>=</mo><mn>0</mn></mrow></math></span>). From the nonzero plane wave backgrounds, the higher-order B-P solutions are constructed via both DT and the limiting technique. It is interestingly shown that the central region of B-P solutions exhibit the patterns of rogue waves, and thus they are suggested to explain the generating mechanism of rogue waves. Finally, the corresponding dynamics of these received solutions are discussed in detail.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103347"},"PeriodicalIF":2.4,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141036562","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