Wave Motion最新文献

{"title":"Rogue waves on the periodic background in the (2+1)-dimensional Calogero–Degasperis system","authors":"Liru Wang,&nbsp;Zhaqilao","doi":"10.1016/j.wavemoti.2025.103650","DOIUrl":"10.1016/j.wavemoti.2025.103650","url":null,"abstract":"<div><div>In this paper, we investigate the construction of rogue wave solutions for the (2+1)-dimensional Calogero-Degasperis system on periodic backgrounds. By combining the Jacobian elliptic function expansion method, Darboux transformation techniques, and nonlinearization of the Lax pair, we successfully derive exact rogue wave solutions on the Jacobian elliptic function dn and cn backgrounds. Our analysis reveals important relationships among the three potential functions in the system and demonstrates unique dynamic features of interactions between rogue waves and periodic structures in high-dimensional nonlinear settings.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103650"},"PeriodicalIF":2.5,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269626","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":"General rogue waves, breathers and hybrid structures of the coupled Boussinesq system","authors":"Haifang Song,&nbsp;Songlin Zhao,&nbsp;Bo Ren","doi":"10.1016/j.wavemoti.2025.103647","DOIUrl":"10.1016/j.wavemoti.2025.103647","url":null,"abstract":"<div><div>In this paper, we concentrate on the rogue waves, breathers and hybrid solutions of the coupled Boussinesq system via the Kadomtsev–Petviashvili (KP) hierarchy reduction method. We construct the Gram determinant solutions for a <span><math><mrow><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional bilinear system in the KP hierarchy which can be reduced to the coupled Boussinesq system. By considering the dimension-reduction condition, the general high-order rogue wave solutions expressed by derivatives with respect to parameters <span><math><mi>p</mi></math></span> and <span><math><mi>q</mi></math></span> are derived. For simplicity, the expressions of the rogue waves are replaced by purely algebraic ones with the help of the known Schur polynomials. The rogue waves from first till fourth order and their dynamic properties are numerically investigated. The structures of the <span><math><mi>N</mi></math></span>th-order rogue waves contain <span><math><mfrac><mrow><mi>N</mi><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> first-order rogue waves. As more free parameters appear, the number of patterns increases. The breather solutions are obtained through setting specific parameter conditions in soliton solutions. Then first- and second-order breathers are attained and their dynamics are analyzed numerically. Three different arrangements for the first-order breathers as well as three types of second-order breather waves including interacting waves, parallel waves and coincident waves are displayed. The hybrid solutions containing first-order breather as well as first- and second-order solitons are given with dynamic analysis. A similar way can be used to obtain the <span><math><mi>N</mi></math></span>th-order rogue waves and the <span><math><mi>M</mi></math></span>th-order breathers. The method used in the paper can be extended to other integrable equations theoretically.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103647"},"PeriodicalIF":2.5,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269627","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":"Elevating plasma physics: The role of higher-order nonlinearities in space dust shock waves with superthermal ions","authors":"A. Atteya ,&nbsp;Reem Altuijri ,&nbsp;Kottakkaran Sooppy Nisar ,&nbsp;Abdel-Haleem Abdel-Aty ,&nbsp;M. Abd-Elzaher ,&nbsp;Pralay Kumar Karmakar","doi":"10.1016/j.wavemoti.2025.103646","DOIUrl":"10.1016/j.wavemoti.2025.103646","url":null,"abstract":"<div><div>This research explores the higher-order nonlinear and dissipative effects on dust acoustic shock waves in a complex plasma medium composed of inertial negative dust particles, Maxwellian electrons, and superthermal ions under the influence of polarization forces. Employing a perturbative approach, the research derives analytical descriptions of both first- and second-order potentials and electric fields, highlighting how these higher-order corrections significantly modify the shock wave structures. The analysis reveals that second-order potentials introduce negative contributions that reduce the overall wave amplitude, while the associated electric fields oppose the first-order fields, leading to self-regulating mechanisms that influence energy transport and wave stability. Numerical evaluations demonstrate how key plasma parameters, such as polarization strength, dust temperature, ion-to-electron density ratio, viscosity, and superthermality-affect phase velocity, nonlinearity, and shock profiles. The findings emphasize that including higher-order effects is crucial for accurately modeling shock dynamics in laboratory with direct relevance to astrophysical plasmas, notably the dynamics observed in planetary ring systems and cosmic dust environments, providing deeper insight into energy dissipation and wave evolution in complex dusty plasma systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103646"},"PeriodicalIF":2.5,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269628","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":"Wave scattering by an array of submerged bars: An analytic approach","authors":"P. Negi ,&nbsp;T. Sahoo ,&nbsp;V. Sriram ,&nbsp;Y. Stepanyants","doi":"10.1016/j.wavemoti.2025.103645","DOIUrl":"10.1016/j.wavemoti.2025.103645","url":null,"abstract":"<div><div>This paper provides a detailed analytic solution for examining the scattering of surface gravity waves by an array of bars. Depending on the incident wave period, bars are modelled as either trapezoidal or hump-shaped profiles. We formulate the problem as a boundary value problem governed by the mild-slope equation and employ the transfer matrix method to determine the scattering coefficients. Our analysis reveals that the number of bars and their spacing modulate Bragg resonance characteristics, with the number of sub-harmonic peaks between harmonic peaks being two fewer than the number of bars. For non-uniform bar arrays, rainbow reflection occurs, suppressing sub-harmonic peaks and eliminating multiple zeros in wave reflection. As the bar length approaches the water depth, wave diffraction becomes significant. Complete wave reflection by uniform bar arrays demonstrates a behaviour analogous to Fabry-Pérot resonance in optics. The Bragg reflection patterns exhibit distinctive properties: common zero minima for even numbers of bars and common maxima for odd numbers. When examining the inverse case — submerged trenches instead of bars — we observe similar harmonic and subharmonic components with consistent phase shifts and notably reduced reflected wave amplitudes. Wave field analysis demonstrates three distinct regions: standing waves on the incident side, progressive waves on the leeward side, and partly standing waves in the confined region between bars. The sloped geometries of the bar systems induce wave refraction and amplitude decay. Two-dimensional linear time-dependent surface elevations, simulated using a Gaussian pulse, capture the transient wave transformation dynamics throughout the submerged multi-bar systems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103645"},"PeriodicalIF":2.5,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227791","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":"Two-layer roll waves in rapid gravity currents on mild slopes","authors":"Boyuan Yu","doi":"10.1016/j.wavemoti.2025.103634","DOIUrl":"10.1016/j.wavemoti.2025.103634","url":null,"abstract":"<div><div>The nonlinear development of roll waves in two-layer gravity currents on mild slopes are numerically investigated using an integrated layer model including inertia effect. Periodic roll waves and roll-wave packets initiated by localized disturbance are examined for a realistic range of density and viscosity ratios. When a localized disturbance is introduced initially, the leading wave in the roll-wave packet for both of the layers (referred to as the ”front runner”) could develop exceedingly large peak depth and velocity which increase as the wave packet travels downstream. The upper-layer roll wave and lower-layer roll wave show different characteristics. The amplitude of upper-layer roll wave was found to be significantly larger than that of the lower-layer roll wave. Furthermore, peaks of upper-layer periodic roll waves or front runners always coincide with the shock-like wavefront, while peaks of lower-layer front runners with sufficiently large amplitudes are connected to the shock-like wavefront by a smooth profile. Simulations for three-dimensional two-layer flows using the integrated layer model extended to two dimensions demonstrate similar front-runner existence. However, the three-dimensional front runner has remarkably smaller peak depth and velocity than its unidirectional counterpart due to the transversal spreading of the wavefront.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103634"},"PeriodicalIF":2.5,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227528","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":"Matrix extension of the Kuralay-II Equation and its associated Darboux transformation","authors":"Wen-Xiu Ma","doi":"10.1016/j.wavemoti.2025.103644","DOIUrl":"10.1016/j.wavemoti.2025.103644","url":null,"abstract":"<div><div>Starting from the matrix AKNS spectral problem, we construct a Lax pair featuring a first-order non-zero pole in the spectral parameter and derive a matrix generalization of the Kuralay-II equation. The associated Darboux transformation is developed within the AKNS framework. By applying this transformation to a non-zero seed solution, we obtain a class of exact and explicit solutions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103644"},"PeriodicalIF":2.5,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227792","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":"Transformation-based cloaking for flexural–gravity waves in an anisotropic plate floating on shallow water","authors":"Sophie Thery ,&nbsp;Malte A. Peter ,&nbsp;Luke G. Bennetts ,&nbsp;Sébastien Guenneau","doi":"10.1016/j.wavemoti.2025.103642","DOIUrl":"10.1016/j.wavemoti.2025.103642","url":null,"abstract":"<div><div>The principle of cloaking has been developed and applied to different types of waves. We consider the application in the context of flexural–gravity waves on shallow water in order to reduce the wave force on an object. The parameters of the plate used to create a cloak in the vicinity of the object are found applying a space transformation method to the wave-propagation equation. The governing equation of a Kirchhoff–Love plate is generally not shape-invariant, which traditionally induces error terms in the (thus approximate) use of the space transformation method. First deriving the equations of motion for the shallow-water–fully anisotropic plate system by a variational principle, we extend the transformation method to anisotropic plates and show that for every change of coordinates there exists a class of anisotropic plates such that the equation of motion is shape-invariant. Furthermore, we consider examples in which the wave force on and the scattering by a rigid bottom-mounted vertical cylinder are reduced when surrounded by a floating plate with a cloaking region having material parameters computed by the presented method and we illustrate an approximate case by simulations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103642"},"PeriodicalIF":2.5,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145227793","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":"Asymptotic analysis on a Lakshmanan–Porsezian–Daniel equation in nonlinear optics","authors":"Wentao Li ,&nbsp;Zhao Zhang ,&nbsp;Biao Li","doi":"10.1016/j.wavemoti.2025.103633","DOIUrl":"10.1016/j.wavemoti.2025.103633","url":null,"abstract":"<div><div>The Lakshmanan–Porsezian–Daniel (LPD) equation describes the effect of biquadratic interactions on the integrable properties of Heisenberg bilinear spin chains in the classical limit. By applying multiple-scale method, the Korteweg–de Vries (KdV) equation and a generalized fifth-order KdV equation are derived from the LPD equation. Based on the perturbation analysis, asymptotic one- and two-soliton solutions are constructed. The dispersive terms in the KdV and generalized fifth-order KdV equation provide the leading-order and higher-order corrections to the soliton velocities, respectively. Furthermore, the corresponding numerical solutions are obtained by imposing suitable periodic boundary conditions on the asymptotic one- and two-soliton solutions and applying the Fourier spectral method. The good agreement between the numerical results and the asymptotic solutions confirms the validity of the constructed solution for the LPD equation.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103633"},"PeriodicalIF":2.5,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145061628","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":"Symmetry breaking induces polarized bandgaps and anomalous elastic wave behavior in gyroid lattices","authors":"Maria Carrillo-Munoz,&nbsp;Anwaruddin Siddiqui Mohammed,&nbsp;Bhisham Sharma","doi":"10.1016/j.wavemoti.2025.103626","DOIUrl":"10.1016/j.wavemoti.2025.103626","url":null,"abstract":"<div><div>We investigate the elastic wave dispersion of surface-based gyroid lattices and analyze how introducing material and geometric asymmetry affects their behavior. First, we show that unmodified (high-symmetry) gyroid lattices exhibit multiple degeneracies in their dispersion relations, preventing bandgap formation. To lift these degeneracies, we implement two asymmetry strategies: (1) Material asymmetry, by assigning different stiffness or density to distinct regions of the unit cell; and (2) Geometric asymmetry, by scaling the lattice unequally along coordinate axes to create anisotropic “gyroid-derived” shapes. Bloch–Floquet analysis of the infinite periodic lattices reveals that both approaches open new bandgaps. Material-asymmetric gyroids develop polarized-directional bandgaps that block one shear polarization in specific directions, and for moderate stiffness or density contrast, produce a “fluid-like” regime in which both shear polarizations (<span><math><mi>S</mi></math></span> <span><math><msub><mrow></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><mi>S</mi></math></span> <span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span>) are strongly attenuated, allowing only longitudinal (<span><math><mi>P</mi></math></span>) waves. Geometrically asymmetric gyroids likewise exhibit directional bandgaps and, at low frequencies, display anomalous propagation: shear wave phase velocities exceed longitudinal wave velocities—a reversal of the usual hierarchy. Computational homogenization confirms that these anomalies arise from anisotropic effective stiffness coefficients <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mn>44</mn></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span> and <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mn>66</mn></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span> surpassing <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mn>11</mn></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span> along certain axes. Overall, our results demonstrate that deliberate material or geometric asymmetry in gyroid lattices enables precise tailoring of bandgaps and wave-speed hierarchies, offering an effective approach for the design of architected metamaterials for vibration isolation and wave control.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103626"},"PeriodicalIF":2.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145108066","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":"A lightweight helical plate elastic metamaterial for low-frequency vibration suppression","authors":"Biao Li ,&nbsp;Yongyan Zhang ,&nbsp;Xiangjie Miao ,&nbsp;Zebo Zhao ,&nbsp;Liming Chen ,&nbsp;Hui Liu","doi":"10.1016/j.wavemoti.2025.103632","DOIUrl":"10.1016/j.wavemoti.2025.103632","url":null,"abstract":"<div><div>In this paper, we propose a lightweight helical plate elastic metamaterial with gradient springs for low-frequency vibration suppression, leveraging the local resonance effect of helical gradient springs to achieve both an ultra-wide complete bandgap and a bending wave bandgap in the low-frequency range. Theoretical analysis and finite element simulations reveal the critical role of helical gradient springs in stiffness tuning and the local resonance mechanism. By integrating multiple pitches and radii, the design offers greater flexibility in stiffness adjustment compared with conventional single-pitch and single-radius springs. This enables the realization of negative stiffness characteristics and allows more flexible optimization of the bandgap range and performance. Moreover, adjusting the number of helical gradient spring arrays further enhances the bandgap width, system stability, and lightweight properties. After determining suitable geometric parameters through parametric analysis, the proposed structure achieves bending wave bandgaps from 29 Hz to 454 Hz and a complete bandgap from 72 Hz to 436 Hz, both representing ultra-wide low-frequency ranges. Additionally, intrinsic modal analysis and transmission spectrum characterization elucidate the physical mechanisms of bandgap formation and validate the design. This helical gradient spring-based local resonance structure addresses the challenges posed by the high mass and volume of traditional phononic crystals, offering a promising approach for engineering applications in low-frequency acoustic isolation metamaterials.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103632"},"PeriodicalIF":2.5,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145018584","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}