Wave Motion最新文献

{"title":"Model study of ocean wave propagation through broken sea ice covers with variable ice concentration","authors":"Jordan P.A. Pitt ,&nbsp;Luke G. Bennetts","doi":"10.1016/j.wavemoti.2025.103655","DOIUrl":"10.1016/j.wavemoti.2025.103655","url":null,"abstract":"<div><div>A theoretical model is used to study the propagation of water waves into and through the marginal ice zone. The marginal ice zone is modelled as a region composed of thin floating elastic plates separated by open water gaps, with randomly chosen lengths. The impact of the marginal ice zone on incoming waves is determined using a reconstruction of the dominant wavelength and attenuation rate, and a transferred amplitude (measuring the change in amplitude at the ice edge), and these quantities are studied for different ice concentrations (the areal fraction of ice cover to open water). For all concentrations, the model is shown to predict a deterministic limit for ice covers composed of floes and gaps much smaller than wavelengths, where the wave fields are independent of the particular realisation of the ice cover and insensitive to further reduction in floe and gap lengths (called the small floe–gap limit). The obtained small floe–gap limit is replicated by using a periodic ice cover that supports damped Bloch waves. The model predicts that as concentration decreases, the wavelength increases and the transferred amplitude and attenuation rate decrease, with attenuation rate scaling with ice concentration.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103655"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145365421","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":"Seismic wave interaction with buried cavity networks: Analytical modeling and resonance effects","authors":"Agnès Maurel ,&nbsp;Stéphane Brulé ,&nbsp;Sébastien Guenneau ,&nbsp;Kim Pham","doi":"10.1016/j.wavemoti.2025.103666","DOIUrl":"10.1016/j.wavemoti.2025.103666","url":null,"abstract":"<div><div>We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103666"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425343","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":"Non-degenerate and degenerate soliton solutions to the semi-discrete vector nonlinear Schrödinger system","authors":"Yang-Yang Du ,&nbsp;Yan-Nan Zhao ,&nbsp;Hui-Qin Hao ,&nbsp;Rui Guo ,&nbsp;Jian-Wen Zhang","doi":"10.1016/j.wavemoti.2025.103657","DOIUrl":"10.1016/j.wavemoti.2025.103657","url":null,"abstract":"<div><div>In this paper, we derive the non-degenerate and degenerate one- and two-soliton solutions to the semi-discrete vector nonlinear Schrödinger system, which can describe the mean-field waves within the Bose–Einstein condensate system, via Hirota’s bilinear method. The plots with different hump structures for two components are shown under the appropriate restrictions of parameters. Non-degenerate one-soliton solutions that have the double-hump structure and degenerate one-soliton solutions that have the single-hump structure are presented together. Non-degenerate two-soliton solutions can be classified as completely and partially non-degenerate solitons, corresponding to a variety of hump structures for two components. We also show some snapshots of these solitons at different moments. Moreover, a bound state for two-soliton solutions is depicted.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103657"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145334792","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":"2026-01-01","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":"Embedded wave generation technique for two-layer non-hydrostatic models","authors":"Dede Tarwidi ,&nbsp;Sri Redjeki Pudjaprasetya ,&nbsp;Didit Adytia","doi":"10.1016/j.wavemoti.2025.103665","DOIUrl":"10.1016/j.wavemoti.2025.103665","url":null,"abstract":"<div><div>In this study, an embedded wave generation technique is developed in a two-layer non-hydrostatic model (NH-2L). The wave generation is implemented by formulating the suitable source function and embedding it as a source term within the mass conservation equation. A straightforward, step-by-step method for constructing wave generation through embedded sources is described. The numerical model is subsequently tested through various test cases that encompass wave generation, including both regular and irregular waves. The results of wave generation are evaluated against analytical solutions and existing experimental data. The wave generation method can accurately generate monochromatic waves in both intermediate and deep water regions under absorbing boundary conditions. The simulation results for regular and irregular waves are in agreement with those obtained by laboratory experiments, demonstrating that the embedded wave generation technique implemented in the two-layer non-hydrostatic model can be used to study wave transformation in coastal regions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103665"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145365194","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":"Interface states of surface water waves based on Fibonacci corrugations with mirror symmetry","authors":"Qing-Dong Hong ,&nbsp;Lei Yang ,&nbsp;Rui-Lin Liu ,&nbsp;Shu-Ya Jin ,&nbsp;Ya-Xian Fan ,&nbsp;Zhi-Yong Tao","doi":"10.1016/j.wavemoti.2025.103672","DOIUrl":"10.1016/j.wavemoti.2025.103672","url":null,"abstract":"<div><div>We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103672"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145528918","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":"Breather dynamics and the role of near-neighbor coupling in charge transport within the Holstein-SSH DNA model","authors":"A. Dang Koko ,&nbsp;R.Y. Ondoua ,&nbsp;R. Abouem A. Ribama ,&nbsp;C.B. Tabi ,&nbsp;H.P. Ekobena Fouda ,&nbsp;J.P. Nguenang","doi":"10.1016/j.wavemoti.2025.103652","DOIUrl":"10.1016/j.wavemoti.2025.103652","url":null,"abstract":"<div><div>In this study, we analyze charge transport in the Holstein-SSH DNA lattice model through the analysis of breather dynamics. Using an empirical Holstein-SSH DNA lattice model combined with the quasi-discrete approximation, we have shown that the dynamics of charge transport can be modeled by the nonlinear Schrödinger equation. Analytical study of the modulational instability (MI) phenomenon, based on this equation, revealed that when the nearest-neighbor transfer integral is high, the system becomes more stable, thus offering better charge transport. Furthermore, numerical analysis of MI revealed that our system admits breather solutions, indicating that the stability/instability dynamics can be influenced by the wave number. Subsequently, we derive the breather-type solution and numerically plot its spatio-temporal evolution. One interesting result of this study is that during charge transport in DNA, we find that high values of nearest-neighbor transfer integral could indicate that solitons are more resistant to perturbations or disorder, allowing localized waves to maintain their shape and energy over longer distances. Which allows us to deduce some biological implications linked to charge transport in DNA.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"140 ","pages":"Article 103652"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145333096","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":"Stability of periodic traveling waves for the hydroelastic Whitham equation","authors":"Marcelo V. Flamarion ,&nbsp;Jimmie Adriazola","doi":"10.1016/j.wavemoti.2025.103675","DOIUrl":"10.1016/j.wavemoti.2025.103675","url":null,"abstract":"<div><div>In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"141 ","pages":"Article 103675"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579340","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":"2026-01-01","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":"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":"2026-01-01","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}