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Nonlinear concentric water waves of moderate amplitude 中等振幅的非线性同心水波
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-17 DOI: 10.1016/j.wavemoti.2024.103295
Nerijus Sidorovas , Dmitri Tseluiko , Wooyoung Choi , Karima Khusnutdinova
{"title":"Nonlinear concentric water waves of moderate amplitude","authors":"Nerijus Sidorovas ,&nbsp;Dmitri Tseluiko ,&nbsp;Wooyoung Choi ,&nbsp;Karima Khusnutdinova","doi":"10.1016/j.wavemoti.2024.103295","DOIUrl":"10.1016/j.wavemoti.2024.103295","url":null,"abstract":"<div><p>We consider the outward-propagating nonlinear concentric water waves within the scope of the 2D Boussinesq system. The problem is axisymmetric, and we derive the slow radius versions of the cylindrical Korteweg - de Vries (cKdV) and extended cKdV (ecKdV) models. Numerical runs are initially performed using the full axisymmetric Boussinesq system. At some distance away from the origin, we use the numerical solution of the Boussinesq system as the “initial condition” for the derived cKdV and ecKdV models. We then compare the evolution of the waves as described by both reduced models and the direct numerical simulations of the axisymmetric Boussinesq system. The main conclusion of the paper is that the extended cKdV model provides a much more accurate description of the waves and extends the range of validity of the weakly-nonlinear modelling to the waves of moderate amplitude.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524000258/pdfft?md5=9cf78a83f7e97c50d63bfd717bc74c92&pid=1-s2.0-S0165212524000258-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139946847","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
Families of exact solutions of a Generalized (2+1)-dimensional Boussinesq type equation 广义(2+1)维布西内斯克方程的精确解系列
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-15 DOI: 10.1016/j.wavemoti.2024.103297
Caifeng Chen, Maohua Li
{"title":"Families of exact solutions of a Generalized (2+1)-dimensional Boussinesq type equation","authors":"Caifeng Chen,&nbsp;Maohua Li","doi":"10.1016/j.wavemoti.2024.103297","DOIUrl":"10.1016/j.wavemoti.2024.103297","url":null,"abstract":"<div><p>In this paper, we study a Generalized (2+1)-dimensional Boussinesq-type equation. Using the Hirota bilinear method, we present the <span><math><mi>N</mi></math></span>-order bright soliton solutions and dark soliton solutions. For the one-soliton solution, the bright soliton solution and the dark soliton solution share the same limit line but have different extreme values. Building on the soliton solutions, we derive higher-order bright and dark breather solutions as well as mixed solutions. The dynamic behavior is characterized using visual representations. Furthermore, through the long-wave limit method, we obtain the bright and dark lump solutions. Notably, they share the same extreme points but have different extreme values. Additionally, we derive two semi-rational solutions as lump-soliton and lump-breather. It is found that the lump moves along the peak amplitude of the soliton wave.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139813719","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
Solitonic rogue and modulated wave patterns in the monoatomic chain with anharmonic potential 具有非谐波势的单原子链中的孤子流氓波和调制波模式
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-12 DOI: 10.1016/j.wavemoti.2024.103298
Alphonse Houwe , Souleymanou Abbagari , Lanre Akinyemi , Kofané Timoléon Crépin
{"title":"Solitonic rogue and modulated wave patterns in the monoatomic chain with anharmonic potential","authors":"Alphonse Houwe ,&nbsp;Souleymanou Abbagari ,&nbsp;Lanre Akinyemi ,&nbsp;Kofané Timoléon Crépin","doi":"10.1016/j.wavemoti.2024.103298","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103298","url":null,"abstract":"<div><p>Modulation instability and rogue wave structures have been investigated in this work. This study is an extension of the work in Abbagari (2023), where a nonlinear Schrödinger equation with higher-order dispersion is derived to show only the development of the modulated waves bounded to bright soliton as a nonlinear exhibition of modulation instability. Here, the coupled nonlinear Schrödinger equation is derived by using the multi-scale scheme. An overview of the analytical calculations of the perturbed plane wave is carried out to show the effects of the nonlinear chain parameters on the modulation instability growth rate and bandwidths. The interest of this study lies equally in the nonlinear modes of excitation, where solitonic waves are generated under certain conditions in lower and upper frequency bands. On the other hand, relevant results have been developed to show the features of the type I and type II rogue waves of the Manakov system. Such investigations are obtained under the variation of the interaction potential parameters and the free parameter of the similarity method. Via a numerical simulation, rogue wave structures have been generated as a consequence of the long-time evolution of the perturbed plane wave. At a specific time of propagation, another localized object has been obtained to show the Akhmediev breathers and Kuznetsov-Ma solitons clusters under a strong perturbed wave number. These results have opened up new features, and many applications could follow in the future.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139726667","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
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis 利用离散动力学分析对一般元手性晶格中的带隙进行参数分析
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-10 DOI: 10.1016/j.wavemoti.2024.103289
Diptangshu Paul, K.R. Jayaprakash
{"title":"Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis","authors":"Diptangshu Paul,&nbsp;K.R. Jayaprakash","doi":"10.1016/j.wavemoti.2024.103289","DOIUrl":"10.1016/j.wavemoti.2024.103289","url":null,"abstract":"<div><p>To exploit low-frequency bandgaps in a chiral auxetic lattice, local resonators (LR) are usually incorporated. In that case, the tailorable bandgaps are the sub-Bragg bandgaps, whose width depend on the mass of the resonator and the effective stiffness of the elastic coupling used to attach the resonator. However, this does not allow direct control over the bandgaps above the sub-Bragg frequencies. To achieve that, in this study, we introduce the diatomic structure and include a secondary species in the lattice, resulting in highly tailorable bandgaps in the absence of the LRs. The proposed class of metachiral lattices introduces seven design parameters that can be varied to engineer the band structure over a wide frequency range. A detailed analytical study of the lattice has been conducted using a discrete Lagrangian model, and the dispersion characteristics have been studied by invoking Floquet-Bloch periodicity conditions. Appropriate finite element analysis has been conducted to compare the analytical results and corroborate the detailed parametric study thereof.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139830836","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
Wigner measures of electromagnetic waves in heterogeneous bianisotropic media 异质双向各向异性介质中电磁波的维格纳量度
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-08 DOI: 10.1016/j.wavemoti.2024.103296
Jean-Luc Akian, Éric Savin
{"title":"Wigner measures of electromagnetic waves in heterogeneous bianisotropic media","authors":"Jean-Luc Akian,&nbsp;Éric Savin","doi":"10.1016/j.wavemoti.2024.103296","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103296","url":null,"abstract":"<div><p>We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation lengths comparable to the typical wavelength of the waves. Although the fluctuations are weak, they induce multiple scattering over long propagation times and/or distances such that the waves end up traveling in many different directions with mixed polarizations. We derive the dispersion and evolution properties of the Wigner measure of the electromagnetic fields, which describes their angularly-resolved energy density in this propagation regime. The analysis starts from Maxwell’s equations with general constitutive equations. We first ignore the random fluctuations of the optical response and obtain <em>uncoupled</em> transport equations for the components of the Wigner measure on the different propagation modes (polarizations). Then we use a multi-scale expansion of the Wigner measure to obtain the radiative transfer equations satisfied by these components when the fluctuations are no longer ignored. The radiative transfer equations are <em>coupled</em> through their collisional parts, which account for the scattering of waves by the random fluctuations and their possible changes in polarization. The collisional kernels describing these processes depend on the power and cross-power spectral densities of the fluctuations at the wavelength scale. The overall derivation is based on the interpretation of Wigner transforms and Wigner measures in terms of semiclassical pseudo-differential operators in their standard quantization.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139718816","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 for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach 新型昆都非线性薛定谔方程的 N 索利子解法和黎曼-希尔伯特方法
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-07 DOI: 10.1016/j.wavemoti.2024.103293
Yipu Chen, Biao Li
{"title":"N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach","authors":"Yipu Chen,&nbsp;Biao Li","doi":"10.1016/j.wavemoti.2024.103293","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103293","url":null,"abstract":"<div><p>This paper investigates the novel Kundu-nonlinear Schrödinger equation (nKundu-NLS) with zero boundary conditions by applying the inverse scattering method. A suitable Riemann–Hilbert problem (RHP) is formulated and solved by the Laurent expansion method. Through the Laurent series, the paper obtains the solutions of the RHP for different cases of the reflection coefficient, such as single and multiple poles. The paper demonstrates the effectiveness and generality of the inverse scattering method for solving the nKundu-NLS.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139732967","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
Resonant solutions of the Davey–Stewartson II equation and their dynamics Davey-Stewartson II方程的共振解及其动力学原理
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-07 DOI: 10.1016/j.wavemoti.2024.103294
Jiguang Rao , Dumitru Mihalache , Jingsong He , Yi Cheng
{"title":"Resonant solutions of the Davey–Stewartson II equation and their dynamics","authors":"Jiguang Rao ,&nbsp;Dumitru Mihalache ,&nbsp;Jingsong He ,&nbsp;Yi Cheng","doi":"10.1016/j.wavemoti.2024.103294","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103294","url":null,"abstract":"<div><p>This paper aims to study the evolution dynamics of resonant solutions of the Davey–Stewartson II equation. The resonant solutions can depict diverse collision scenarios among periodic solitons themselves or among periodic solitons with algebraic decaying solitons. A significant finding in these particular collisions is the observation of wave structure transitions in the algebraic decaying solitons, along with notable changes in their dynamics. We show that the algebraic decaying solitons undergo a transition from states with non-localized behaviour in either space or time to states with localized behaviour in either space or time, or to states with localized behaviour in both time and space. The algebraic decaying solitons, exhibiting dual localization in both time and space, closely resemble two-dimensional localized waves in physical systems. They serve as effective tools for comprehending various nonlinear physical phenomena.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524000246/pdfft?md5=6ad0e0b85997fee72e8671df4d720266&pid=1-s2.0-S0165212524000246-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139732968","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
Wave transmission coefficient reduction by wooden fences 木栅栏降低透波系数
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-07 DOI: 10.1016/j.wavemoti.2024.103286
Ikha Magdalena , Thalia Diandra Safira , Kemal Firdaus , H.Q. Rif’atin
{"title":"Wave transmission coefficient reduction by wooden fences","authors":"Ikha Magdalena ,&nbsp;Thalia Diandra Safira ,&nbsp;Kemal Firdaus ,&nbsp;H.Q. Rif’atin","doi":"10.1016/j.wavemoti.2024.103286","DOIUrl":"10.1016/j.wavemoti.2024.103286","url":null,"abstract":"<div><p>In this study, we investigate the efficiency of wooden fences in reducing wave amplitude using a modified version of the Linear Shallow Water Equations. The resulting model is solved analytically and numerically to obtain the wave transmission coefficient. We apply a staggered finite volume method to obtain the numerical solution of the model, which is subsequently validated through comparison with the analytical solution of the equations and experimental data from a previous study. The validated scheme is then employed to simulate the wave attenuation of wooden fences. We anticipate that this method will prove valuable in the construction of coastal defense systems, particularly for the protection of mangroves.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139882754","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
Optimizing the management, control, and computation of skin depth in laminated structures considering reflection effects 考虑反射效应，优化层状结构表皮深度的管理、控制和计算
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-07 DOI: 10.1016/j.wavemoti.2024.103292
Sidi Mohamed Benhamou , Mekki Houbad
{"title":"Optimizing the management, control, and computation of skin depth in laminated structures considering reflection effects","authors":"Sidi Mohamed Benhamou ,&nbsp;Mekki Houbad","doi":"10.1016/j.wavemoti.2024.103292","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103292","url":null,"abstract":"<div><p>This study introduces an alternative method for calculating multilayered skin depth in laminated structures. It concentrates on locating the layer where the skin effect occurs and developing a novel formula for skin depth. This method involves attenuating the electric field as it traverses the layers of the structure until it reaches the 1/e point. The equation's resolution considers the reflection that occurs when electromagnetic wave transitions between layers. To execute computations with precision and efficiency, a numerical algorithm is implemented. An in-depth examination will be conducted to identify materials in the first, second, and third positions within the multilayer structure, where the skin effect may manifest in specific frequency ranges, including those defined by the IEEE. The approach provides a reliable mean to precisely control the skin effect's location in complex multilayered structures and select materials to minimize or maximize its impact as needed.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139726666","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 study of guided waves in random anisotropic elastic cylinders immersed in fluids 浸入流体的随机各向异性弹性圆柱体中的导波数值研究
IF 2.4 3区 物理与天体物理
Wave Motion Pub Date : 2024-02-07 DOI: 10.1016/j.wavemoti.2024.103288
Fakhraddin Seyfaddini, Salah Naili, Christophe Desceliers, Vu-Hieu Nguyen
{"title":"Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids","authors":"Fakhraddin Seyfaddini,&nbsp;Salah Naili,&nbsp;Christophe Desceliers,&nbsp;Vu-Hieu Nguyen","doi":"10.1016/j.wavemoti.2024.103288","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103288","url":null,"abstract":"<div><p>Dispersion characteristics of ultrasonic guided waves, which are commonly used for inspecting prismatic-like structures, may strongly be influenced due to the presence of spatial heterogeneity of material properties. This work presents a probabilistic framework to analyze the dispersion of guided waves in uncertain heterogeneous anisotropic elastic cylindrical structures coupled with fluids. To do so, a random matrix model was employed to introduce the stochastic heterogeneity of elastic properties in the radial direction. The semi-analytical finite element (SAFE) method was used for computing the guided wave dispersion in the considered coupled fluid–elastic system. The proposed method allows to estimate the probability density function of the phase velocity of a specific mode. The numerical results showed that the material’s random heterogeneity in a free elastic cylinder may cause a high standard deviation of the phase velocity (up to 6% of the mean value), especially at the point on the dispersion curve where its slope is steep. This effect was shown to be less significant when considering the presence of coupled inner and outer fluids.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139713977","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
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