Wave Motion最新文献_第2页

The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds 连续和空间周期背景下非局部空间位移非线性Schrödinger方程多呼吸解的渐近分析

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-09-02 DOI: 10.1016/j.wavemoti.2025.103630

Jiguang Rao , Dumitru Mihalache , Minjie Ma , Jingsong He

{"title":"The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds","authors":"Jiguang Rao , Dumitru Mihalache , Minjie Ma , Jingsong He","doi":"10.1016/j.wavemoti.2025.103630","DOIUrl":"10.1016/j.wavemoti.2025.103630","url":null,"abstract":"<div><div>This study delves into the asymptotic analysis and dynamics of multi-breather waveforms within the nonlocal space-shifted nonlinear Schrödinger equation on two distinct backgrounds: a continuous background represented by a plane wave, and a periodic background with periodicity solely along the spatial variable. These breathers are grouped into multiple pairs during the asymptotic analysis, wherein the speeds of two breathers are identical but opposite in directions. Our analysis reveals that the shifting parameter <span><math><msub><mrow><mi>x</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> significantly influences the localization center of only one breather within each breather pair in space. The other breather in each pair remains unaffected by changes in <span><math><msub><mrow><mi>x</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, except for the shifts in the position of the maximum amplitude point of this breather on the spatial periodic background. By scrutinizing the correlations between velocities or periodicities and the corresponding amplitudes, we uncover both similarities and differences between nonlocal breathers and their associated local counterparts. While both types of breathers exhibit identical relations between velocities or periodicities and their associated parameters, the relationship between amplitude and its parameters for local breathers represents a specific example within the broader spectrum observed in the case of nonlocal breathers. Hence, the correlations of velocities or periodicities with amplitudes for local breathers are considered a subset of those observed in nonlocal breathers. The findings shed light on the intricate dynamics of multi-breather waveforms, offering valuable insights into their behavior on different backgrounds.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103630"},"PeriodicalIF":2.5,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003953","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

Laboratory and numerical experiments of wave propagation in media with fluid-filled fractures 含流体裂缝介质中波传播的室内和数值实验

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-09-02 DOI: 10.1016/j.wavemoti.2025.103631

Ana L. Ramos-Barreto , Tobias M. Müller , Rubén Rioyos-Romero , Jonas D. De Basabe

{"title":"Laboratory and numerical experiments of wave propagation in media with fluid-filled fractures","authors":"Ana L. Ramos-Barreto , Tobias M. Müller , Rubén Rioyos-Romero , Jonas D. De Basabe","doi":"10.1016/j.wavemoti.2025.103631","DOIUrl":"10.1016/j.wavemoti.2025.103631","url":null,"abstract":"<div><div>Understanding how fractures and fluids can influence elastic-wave propagation remains a complex puzzle, driving the exploration of the relationship between fluid properties and P-wave propagation through fractured media. Unraveling fluid viscosity and density from P-wave recordings still poses challenges, and the literature does not provide univocal answers. Therefore, we conduct both laboratory and numerical experiments to examine the effects of fluid viscosity and density on P-wave propagation when fractures are interpreted in terms of the linear-slip model. The medium consists of stacked aluminum discs with parallel horizontal fractures. We consider 1, 5 and 10 fractures and use water, silicone oil and honey as infill materials. In the laboratory, we obtain the static and dynamic, normal and tangential compliances of parallel fluid-filled fractures. We performed numerical simulations using the discontinuous Galerkin method, incorporating the dynamic compliances obtained from the experiments. Our laboratory findings indicate that fluid density correlates positively with P-wave velocity, transmission coefficient, and quality factor. Furthermore, there is an inverse correlation with the number of fractures. In addition, the normal and tangential fracture compliances and their ratio vary between dry and saturated conditions and decrease when the number of fractures increases. The static compliance is, in general, higher than the dynamic. The numerical results showed good agreement in discriminating between different fluids, although numerical attenuation was slightly underestimated compared to experimental observations. The results highlight the impact of fluid properties on wave behavior in fractured media and provide insights into wave sensitivity to fracture characteristics.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103631"},"PeriodicalIF":2.5,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145010063","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

Rayleigh wave dispersion and attenuation characterized by couple-stress-based poroelasticity 基于耦合应力的孔隙弹性瑞利波频散与衰减特征

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-30 DOI: 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":"2025-08-30","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}

引用次数: 0

Pfaffian solution for dark–dark soliton to the coupled complex modified Korteweg–de Vries equation 耦合复修正Korteweg-de Vries方程的dark-dark孤子的Pfaffian解

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-30 DOI: 10.1016/j.wavemoti.2025.103611

Chenxi Li , Xiaochuan Liu , Bao-Feng Feng

引用次数: 0

N-soliton solutions of four-wave mixing coupled Schrödinger equations based on Riemann–Hilbert method 基于Riemann-Hilbert方法的四波混频耦合Schrödinger方程的n孤子解

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-27 DOI: 10.1016/j.wavemoti.2025.103629

Xin Wang, Zhi-hui Zhang

引用次数: 0

Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves （3+1）维painlev<s:2>型演化方程的行列式解：高阶流浪波和孤子波

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-22 DOI: 10.1016/j.wavemoti.2025.103624

Majid Madadi , Mustafa Inc

引用次数: 0

Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder 二维洛伦兹相关无序系统中横波传播的研究

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-21 DOI: 10.1016/j.wavemoti.2025.103620

M.O. Sales , L.D. da Silva , M.S.S. Junior , F.A.B.F. de Moura

引用次数: 0

Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation 变系数kundu -非线性Schrödinger方程的非自治位置和呼吸分子

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-19 DOI: 10.1016/j.wavemoti.2025.103623

Yanan Wang , Minghe Zhang

引用次数: 0

Guided modes of helical waveguides 螺旋波导的导模

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-19 DOI: 10.1016/j.wavemoti.2025.103621

Jay Gopalakrishnan, Michael Neunteufel

{"title":"Guided modes of helical waveguides","authors":"Jay Gopalakrishnan, Michael Neunteufel","doi":"10.1016/j.wavemoti.2025.103621","DOIUrl":"10.1016/j.wavemoti.2025.103621","url":null,"abstract":"<div><div>This paper studies guided transverse scalar modes propagating through helically coiled waveguides. Modeling the modes as solutions of the Helmholtz equation within the three-dimensional (3D) waveguide geometry, a propagation ansatz transforms the mode-finding problem into a 3D quadratic eigenproblem. Through an untwisting map, the problem is shown to be equivalent to a 3D quadratic eigenproblem on a straightened configuration. Next, exploiting the constant torsion and curvature of the Frenet frame of a circular helix, the 3D eigenproblem is further reduced to a two-dimensional (2D) eigenproblem on the waveguide cross section. All three eigenproblems are numerically treated. As expected, significant computational savings are realized in the 2D model. A few nontrivial numerical techniques are needed to make the computation of modes within the 3D geometry feasible. They are presented along with a procedure to effectively filter out unwanted non-propagating eigenfunctions. Computational results show that the geometric effect of coiling is to shift the localization of guided modes away from the coiling center. The variations in modes as coiling pitch is changed are reported considering the example of a coiled optical fiber.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103621"},"PeriodicalIF":2.5,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896325","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

Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space 磁弹性半空间上均匀液体层的Cauchy-Poisson问题

IF 2.5 3区物理与天体物理

Wave Motion Pub Date : 2025-08-18 DOI: 10.1016/j.wavemoti.2025.103625

Selina Hossain , Koushik Nandi , Soumen De

{"title":"Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space","authors":"Selina Hossain , Koushik Nandi , Soumen De","doi":"10.1016/j.wavemoti.2025.103625","DOIUrl":"10.1016/j.wavemoti.2025.103625","url":null,"abstract":"<div><div>The present work investigates the generation and propagation of wave motion produced by initial disturbances in a finite-depth ocean with an elastic bottom, influenced by a constant magnetic field acting in the normal direction of wave propagation. The objective is to derive an analytical solution to the Cauchy–Poisson problem for an ocean over an elastic bottom, modeled as an elastic solid medium, in presence of a uniform magnetic field. The fluid is assumed to be incompressible and is bounded above by a free surface and below by a homogeneous magnetoelastic half-space. By applying linear theory of water waves and linear elasticity theory for solids, the physical problem is formulated as an initial boundary value problem. The Laplace–Fourier integral transform method is employed to obtain analytical expressions for the free surface elevation and the vertical displacement of the seabed in the form of multiple infinite integrals. The method of steepest descent approximation is then applied to evaluate these integrals asymptotically. The results, illustrated through figures, highlight the effects of various key physical parameters on wave behavior. The dispersion relation governing the wave motion is also derived and analyzed. The findings reveal that the magnetic field significantly alters wave characteristics and mitigates wave impact. Additionally, variations in pressure and shear wave velocities are found to have a notable influence on wave propagation. Validation is carried out by comparing the results with existing literature for the special case of a rigid seabed.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103625"},"PeriodicalIF":2.5,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867159","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