Wave Motion最新文献

{"title":"Influence of the mass ratio on the formation of gap intrinsic localized structures and energy distribution in a 1D Frenkel–Kontorova quantum diatomic chain","authors":"R. Abouem A. Ribama ,&nbsp;Z.I. Djoufack ,&nbsp;J.P. Nguenang","doi":"10.1016/j.wavemoti.2025.103561","DOIUrl":"10.1016/j.wavemoti.2025.103561","url":null,"abstract":"<div><div>We investigate the mass ratio influence on the formation of gap intrinsic localized structures and energy distribution in a 1D Frenkel–Kontorova quantum diatomic chain. We analyze the coupled nonlinear excitations and it is found that : On the one hand, a gap frequency is obtained through the linear spectrum as well as different families of gap breather solutions depending on the gap frequency values, On the other hand, the existence of intrinsic localized structures for some particular frequencies in the vicinity of the gap and the formation of the modulation instability (MI) zones, as well as the intensity of the growth rate in addition to the amplitude of energy density can be influenced by the mass ratio of particles. Furthermore, there is a large gap opened in the phonon spectrum for a very small mass ratio and the phenomenon of gap cannot exist if the above condition is not satisfied. The accuracy of the analytical studies is confirmed by an excellent agreement with the numerical simulations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103561"},"PeriodicalIF":2.1,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144330160","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":"Nonlinear wave behaviors for a combined Kadomtsev–Petviashvili–Boiti–Leon–Manna–Pempinelli equation in fluid dynamics, plasma physics and nonlinear optics","authors":"Majid Madadi ,&nbsp;Mustafa Inc ,&nbsp;Mustafa Bayram","doi":"10.1016/j.wavemoti.2025.103584","DOIUrl":"10.1016/j.wavemoti.2025.103584","url":null,"abstract":"<div><div>Research in real-world applications has been driving the progress of nonlinear science, with fluid dynamics and plasma physics currently capturing significant attention. This paper explores a newly proposed (2+1)-dimensional nonlinear wave equation, combining the Kadomtsev–Petviashvili (KPE) and Boiti–Leon–Manna–Pempinelli equations (BLMPE). The equation, which includes nonlinear and dispersive terms, has potential applications in fluid dynamics, plasma physics, nonlinear optics, and geophysical flows. We analyze its integrability, showing that it does not satisfy the Painlevé property but admits multi-soliton solutions. Using the Hirota bilinear approach and extended homoclinic test approach, we derive analytic solutions such as lump waves, soliton interactions, and breather waves, with the latter leading to rogue wave formation.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103584"},"PeriodicalIF":2.1,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144281034","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":"Correction in the continuity conditions for beams with structure governed by the Timoshenko–Ehrenfest equation","authors":"W. Rodríguez-Cruz ,&nbsp;D.M. Uriza-Prias ,&nbsp;M. Roque-Vargas ,&nbsp;A. Díaz-de-Anda","doi":"10.1016/j.wavemoti.2025.103582","DOIUrl":"10.1016/j.wavemoti.2025.103582","url":null,"abstract":"<div><div>We develop a theory that significantly improves the correspondence between theoretical and experimental results in beams with structures excited with bending waves. We use beam theory and Timoshenko-Ehrenfest continuity conditions with the transfer matrix method to solve the fourth-order differential equation. First, we analyze the continuity conditions to understand the deformation in the cross-section between the notch-body interface. Then, using analytical and numerical methods, we determine an effective cross-section between the notch-body interface that, when included in the continuity conditions of the Timoshenko–Ehrenfest beam theory, brings the theoretical results into a high agreement with the experimental results with a relative error of less than 12%.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103582"},"PeriodicalIF":2.1,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144229919","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 recurrent mistake in nonlinear elasticity: How a recent paper keeps the error alive","authors":"Giuseppe Saccomandi","doi":"10.1016/j.wavemoti.2025.103583","DOIUrl":"10.1016/j.wavemoti.2025.103583","url":null,"abstract":"<div><div>We analyze the recent paper <em>Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves</em>, published in <em>Wave Motion</em> (132, #103434, 2025) by McAdam, Agyemang, and Cheviakov. This work contains a fundamental issue that has previously appeared in the literature and has already been addressed and corrected. In this paper, we revisit this issue in detail, providing a thorough analysis to clarify and definitively resolve the problem.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103583"},"PeriodicalIF":2.1,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144254914","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":"Agent-Physics-Informed Neural Network solving frequency-domain Helmholtz equation related forward and inverse problems","authors":"Zeyuan Dong,&nbsp;Chang Su,&nbsp;Hao Chen,&nbsp;Weijun Lin,&nbsp;Yubing Li","doi":"10.1016/j.wavemoti.2025.103580","DOIUrl":"10.1016/j.wavemoti.2025.103580","url":null,"abstract":"<div><div>Accurately solving high-fidelity acoustic fields is critical for advancing ultrasonic research. While conventional numerical solvers remain widely used, emerging approaches like Physics-Informed Neural Networks (PINNs) provide a promising alternative for modeling physical phenomena governed by partial differential equations. However, PINNs often struggle to resolve wavefields in large-scale, complex velocity models described by the Helmholtz equation, limiting their practical applications. To address these issues, we propose the Agent-Physics-Informed Neural Network (APINNs) architecture, which integrates the agent field concept and employs a multi-frequency band training strategy. Initially, APINNs are trained on single-frequency forward problems, with agent fields enhancing sensitivity to scattered waves. Subsequently, a step-by-step training methodology enables APINNs to directly predict scattered wavefields at arbitrary frequencies within a prescribed frequency band. By convolving the scattered fields with the source wavelet and applying an inverse Fourier transform, the time-evolving wave propagation in large-scale, heterogeneous models can also be reconstructed. Moreover, we extend APINNs to imaging-related inverse problems, such as velocity model reconstruction, within an ultrasound computed tomography framework. This extension only requires computational costs less than one order of magnitude higher than forward APINNs. Conversely, conventional FWI shows a higher cost ratio between inverse and forward problems. While this does not mean that inverse APINNs are currently more efficient than traditional FWI — since the ratio reflects only internal balance and forward APINN training remains expensive — training-driven APINNs are better positioned to benefit from advances in deep learning, potentially improving efficiency and scalability. Numerical experiments validate the effectiveness of APINNs in solving both forward and inverse problems based on the Helmholtz equation in complex scenarios.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103580"},"PeriodicalIF":2.1,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241581","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":"Spiral waves and localized modes in dispersive wave equations","authors":"Mark J. Ablowitz ,&nbsp;Justin T. Cole ,&nbsp;Sean D. Nixon","doi":"10.1016/j.wavemoti.2025.103579","DOIUrl":"10.1016/j.wavemoti.2025.103579","url":null,"abstract":"<div><div>Spiral wave patterns are investigated in continuous linear and nonlinear dispersive wave equations. These models can be derived from reductions of lattice Floquet topological insulators. Specifically, continuous nonlinear Dirac and Lieb systems are analyzed. In the linear limit, both of these systems reduce to the Klein–Gordon equation. A stationary phase approximation is used to reveal the structure of the spirals. The spiral solutions of the underlying Klein–Gordon equation explain the dynamics in the motivating Floquet lattice system. In the nonlinear Dirac equation, a family of localized modes in the spectral band gap are found to approach a single low energy pulse. Spiral waves are found in the nonlinear Klein–Gordon equation even with large nonlinear coefficients.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103579"},"PeriodicalIF":2.1,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144146863","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":"Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials","authors":"Weizhuo Zhang,&nbsp;Yan Wang","doi":"10.1016/j.wavemoti.2025.103581","DOIUrl":"10.1016/j.wavemoti.2025.103581","url":null,"abstract":"<div><div>This study investigates the interaction between highly nonlinear solitary waves (HNSWs) in particle chain and hyperelastic materials (e.g., silicone and fluorine rubber) through simulations and theoretical modeling. A discrete element/finite element (DE/FE) coupled model was developed based on Hertz contact law and Newton’s second law, analyzing two contact methods: direct particle-material contact and the addition of a face sheet. Results demonstrate that hyperelastic material properties (Young’s modulus, compressive strength) and incident particle velocity significantly influence the amplitude and delay of reflected solitary waves. The inclusion of a face sheet enhances sensitivity, enabling precise differentiation between material types. This work advances HNSW-based health diagnosis theory for hyperelastic materials, offering practical applications in non-destructive testing and material characterization.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103581"},"PeriodicalIF":2.1,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123756","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":"Proposal of reduced wave vector set approximation model of turbulence due to Shell Model","authors":"Sin-ichi Inage ,&nbsp;Hayato Mizuguchi ,&nbsp;Shoki Oogi","doi":"10.1016/j.wavemoti.2025.103578","DOIUrl":"10.1016/j.wavemoti.2025.103578","url":null,"abstract":"<div><div>Turbulence remains a fundamental challenge in fluid dynamics, with direct numerical simulations (DNS) offering crucial insights at a high computational cost. To bridge the gap between DNS and reduced-order models, we propose the reduced wave-vector set approximation model, an extension of the GOY shell model into three dimensions. This model successfully reproduces key statistical features of homogeneous isotropic turbulence, including the Kolmogorov -5/3 power-law and velocity probability density functions (PDFs) consistent with DNS. However, it fails to capture the asymmetry in the streamwise velocity gradient (∂u/∂x), highlighting the need for anisotropic energy transfer mechanisms. Despite this limitation, our framework presents a computationally efficient approach to turbulence modeling, paving the way for further refinements and broader applications in theoretical and applied sciences.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"139 ","pages":"Article 103578"},"PeriodicalIF":2.1,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144146862","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":"Optimization of vibration and noise reduction in sigmoid functionally graded plates using mode localization","authors":"Baij Nath Singh ,&nbsp;Vinayak Ranjan ,&nbsp;R.N. Hota","doi":"10.1016/j.wavemoti.2025.103577","DOIUrl":"10.1016/j.wavemoti.2025.103577","url":null,"abstract":"<div><div>The acoustic and vibrational properties of thin plates made of aluminum and aluminum oxide with a sigmoidally functionally graded material (SFGMs) with physical neutral surface are investigated in this study through use of mode localization and varying boundary conditions. This approach facilitates an in-depth analysis of how differences in material gradation impact the vibrational response and sound emission of the plates. The materials follow a sigmoidal gradation law with indices of k = 0, 1, 5, and 10. Mode localization is assessed by imposing a 20% mass constraint, either concentrated at a point or distributed across the structure. With the use of MATLAB, the governing equation – which was derived using Kirchhoff’s plate theory – is analytically solved to determine the normal velocity and far-field sound radiation fields. Numerical simulation in ANSYS are used to validate the sound power levels, and the result shows a notable level of agreement. The ‘A’-weighted sound power levels (dBA) indicate a rise in sound power level as the sigmoid-law index increases. Across all gradation indices, plates with distributed mass exhibit reduced sound power levels compared to those with point mass. This research delivers a comprehensive analysis of the vibroacoustic properties of SFGM plates, offering important insights for designing quieter structural components in engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103577"},"PeriodicalIF":2.1,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144068199","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":"On wave equations and energy balance for non-linear and linear vibrations of non-uniform and uniform strings and membranes","authors":"L.M.B.C. Campos,&nbsp;M.J.S. Silva","doi":"10.1016/j.wavemoti.2025.103574","DOIUrl":"10.1016/j.wavemoti.2025.103574","url":null,"abstract":"<div><div>The energy flux, the energy density and the wave equation are considered for the transverse vibrations of (i) elastic strings and (ii) membranes under isotropic tension. In both cases (i) and (ii) the wave equation with external forces is obtained in general for (a) non-linear vibrations with large slope and (b) mass density and tangential tension arbitrary functions of position and time. The energy equation, including the energy density and flux and power of external forces, exists for (a) non-linear vibrations and (c) mass density and tangential tension independent of time and arbitrary functions of position. In the simplest case of linear vibrations of uniform elastic (i) strings and (ii) membranes are considered for standing modes and propagating waves, confirming the classical results for propagating waves: (a) the equipartition of kinetic and elastic energies; (b) the energy velocity, that is the ratio of energy flux and density, equal to the wave speed. The statements (a) and (b) generally do not hold: (i) for linear waves in non-uniform strings due to wave refraction by the non-uniform wave speed; (ii) for non-linear waves in a uniform string because of the contrast between the kinetic (elastic) energy as a function of velocity (strain) that is quadratic (has higher order terms); (iii) for non-linear waves in non-uniform strings because, as in (i) and (ii) the velocity and strain satisfy different wave equations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103574"},"PeriodicalIF":2.1,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144068202","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}