Wave Motion

Papers
(The median citation count of Wave Motion is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-12-01 to 2025-12-01.)
ArticleCitations
A new hierarchical control for the wave equation52
A modified approach to wavemaker modeling for high-order spectral numerical wave tanks41
Numerical scheme for the generalised Serre–Green–Naghdi model38
Experimental study on insertion loss of air bubble layer in freestream flow37
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions35
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds33
Inversion of circumferential elastic waves for characterization of concrete pipes32
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water30
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response29
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes28
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 26
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation24
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity23
High frequency homogenization for a one-dimensional acoustic black hole lattice22
Nonlinear dispersive waves in fluids and solids19
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension18
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate17
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams17
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils16
Transmission properties of Kolakoski aperiodic phononic crystals16
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term16
Guided modes of helical waveguides16
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids15
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations15
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island14
Nonlinear concentric water waves of moderate amplitude14
On the generation of optical third-harmonic through quasi-phase-matching in quadratic nonlinear crystals14
Spiral waves and localized modes in dispersive wave equations14
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation13
Waves generated by moving loads on ice plates: Viscoelastic approximations13
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves13
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection13
Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads12
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network12
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides12
Velocity and energy of periodic travelling interfacial waves between two bounded fluids12
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations12
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling11
Improved prediction of the front runner in roll waves produced by localized disturbance11
Some personal reflections on acoustic metamaterials11
On peridynamic acoustics11
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method11
N-(soliton, breather) interactions for general multi-component thir11
Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation11
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains11
Thermal solitons in nanotubes10
An integrated study of wave attenuation by vegetation10
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems10
Green’s function analysis of shear wave propagation in heterogeneous poroelastic sandwiched layer influenced by an impulsive source10
Physics-informed machine learning for the inverse design of wave scattering clusters10
Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method10
Numerical treatment of the Sine-Gordon equations via a new DQM based on cubic unified and extended trigonometric B-spline functions10
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential10
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media10
Riemann–Hilbert approach and N-soliton solutions for a negative matri10
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma9
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach9
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations9
Integration of the periodic Harry Dym equation with a source9
The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation9
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control9
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system9
N-soliton solutions of four-wave mixing coupled Schrödinger equations8
Localized wave solutions and mixed interaction structures in the AB system8
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis8
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space8
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation8
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background8
On the evolution of complex signals and structures in media without dispersion8
Time dependent wave propagation in waveguides with rectangular scattering regions8
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials8
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media8
Transformation design of in-plane elastic cylindrical cloaks, concentrators and lenses8
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system8
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions7
Acoustic axes conditions revised7
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes7
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation7
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation7
Ultralow-frequency band gap in a quasi-zero-stiffness multi-resonator periodic hybrid structure7
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background7
Highly localized horseshoe ripplons and solitons in positive dispersion media7
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media7
Longitudinal wave propagation in a practical metamaterial lattice7
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water7
Local absorbing boundary conditions for the elastic wave equation7
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation7
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation7
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking7
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields7
Wave resonances and the time-dependent capillary gravity wave motion7
From snaking to isolas: A one-active-site approximation in discrete optical cavities7
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface7
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation6
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: An elastic plate loaded by a fluid layer with uniform mean flow6
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation6
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone6
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system6
A simple model of radiating solitary waves6
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves6
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation6
Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation6
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform6
Acoustic radiation torque of a cylindrical quasi-Gauss beam on a viscoelastic cylindrical shell near an impedance boundary6
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom6
Evolution of nonlinear waves with heterogeneous damping and forcing6
Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a (3+1)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli 6
Longitudinal and transverse coherent waves in media containing randomly distributed spheres6
Scattering of an Ostrovsky wave packet in a delaminated waveguide6
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities6
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory6
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions5
Multi-parametric solutions to the functional difference KdV equation5
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening5
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background5
Discrimination between weak adhesion, delamination and kissing bond at the interfaces of composite bonded assemblies5
On essential nonlinearities emerging from linear systems5
Constitutive modelling and wave propagation through a class of anisotropic elastic metamaterials with local rotation5
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background5
Thin-layer solutions to the Helmholtz equation in three dimensions5
Navigating the Hilbert space of elastic bell states in driven coupled waveguides5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves5
Novel solitary patterns in a class of regularized Gardner equations5
Higher-order breather and interaction solutions to the (35
Full reconstruction of acoustic wavefields by means of pointwise measurements5
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies5
Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses5
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves5
Combined harmonic generation of feature guided waves mixing in a welded joint5
Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media5
Singular twist waves in chromonic liquid crystals4
Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field4
Planar Lorentz invariant velocities with a wave equation application4
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal4
Surface velocity reconstruction of a vibrating structure based on dictionary learning and sparse sampling4
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab4
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium4
Floquet scattering of shallow water waves by a vertically oscillating plate4
Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid4
Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures4
Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations4
Barycentric Lagrange interpolation collocation method for solving the Sine–Gordon equation4
Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations4
Deterministic and stochastic theory for a resonant triad4
Interfacial wave between acoustic media with Willis coupling4
Representing rogue waves in minimal form4
Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach4
Fast design of non-uniform acoustic waveguides with prescribed eigenfrequencies4
On the scattering and radiation of water waves by a finite dock floating over a rectangular trench4
A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media4
A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects4
On the proximity of Ablowitz–Ladik and discrete nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions4
Correction in the continuity conditions for beams with structure governed by the Timoshenko–Ehrenfest equation4
A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects4
Nonlinear waves in pantographic beams induced by transverse impulses4
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets4
Shear shock formation in incompressible viscoelastic solids4
Numerical investigations for micro-crack evaluation and localization in pipelines using nonlinear ultrasonic guided wave combining deep learning4
Physics-based modeling of sea clutter phenomenon by a full-wave numerical solver4
The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach4
Morphology influence on the acoustic properties of permeo-elastic media4
Symmetry-induced quasicrystalline waveguides4
Elastic coupled phase theory based on the Cosserat equations: Propagation of coherent waves4
A numerical study on the penetrability and directivity of the difference-frequency component beam in bubbly liquids obtained via parametric acoustic array4
Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory4
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects4
Time-lapse global inversion for surface-waves: A differential approach using a linear approximation of the Rayleigh wave phase velocity4
The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions4
A higher dimensional model of geophysical fluid with the complete Coriolis force and vortex structure3
Hamiltonian model for water waves in a triangular domain3
Solitons, dispersive shock waves and Noel Frederick Smyth3
Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator3
Investigating Rayleigh wave anisotropy in faulted media with three-component beamforming: Insights from numerical models and applications for geothermal exploration3
Assessment of a technique for faster time integration in application to seismic wave propagation analysis3
Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation3
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile3
Analytical investigation of free vibration analysis in functionally graded graphene platelet-reinforced composite beams3
Solitary wave solutions and their limits to the fractional Schrödinger system3
Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation3
Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements3
Effect of damage on Rayleigh wave propagation in second gradient lattice materials3
The effect of different edge conditions on the motion of a submerged elastic disc3
Optical fibers with a frequency-dependent Kerr nonlinearity: Theory and applications3
Low-frequency sub-Bragg phenomena in multilayered vibroacoustic metamaterials3
Integrable generalization of the modified Camassa–Holm equation in 23
Mode computation of immersed multilayer plates by solving an eigenvalue problem3
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation3
Shock structure solutions of Grad 13-moment equations for binary gas mixtures3
Patterns of rational solutions in a split-ring-resonator-based left-handed coplanar waveguide3
Surface acoustic waves in laterally periodic superlattices3
Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation3
On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics3
Ultrasonic field estimation for random P -and S-wavenumbers in isotropic solids using DPSM3
Forced vibrations of a rolling tyre3
Time-dependent modelling of a circular ice shelf3
Riemann–Hilbert approach for the inhomogeneous discrete nonlinear Schrödinger equation with nonzero boundary conditions3
Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers3
Evolutionary equations of a sharing-bicycle system and their solutions3
N-soliton solutions and their dynamic analysis to the generalized com3
Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials3
Zero-frequency corner modes in mechanical graphene3
Numerical and experimental investigations on wave transmission reduction using vegetation models3
Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves3
Novel soliton motion with time-varying wave-width and amplitude as well as velocity through a reverse-space-time nonlocal variable-coefficient mKdV equation3
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions3
Fully explicit numerical scheme for linearized wave propagation in nearly-incompressible soft hyperelastic solids3
Dynamics of localized waves and interactions in a (23
Nonlinear waves and transitions mechanisms for (2+1)-dimensional Korteweg–de Vries-Sawada-Kotera-Ramani equation3
Experimental demonstration of Willis coupling for elastic torsional waves3
Addendum to “Poroacoustic solitary waves under the unidirectional Darcy–Jordan model” [Wave Motion 94 (2020) 102498]3
Erratum: “Transformation of phase velocity among inertial frames” [Wave Motion 50 (2013) 520-524]3
Quasiperiodic-to-soliton conversions and their mechanisms of the (3
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation3
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach3
Study on the influence of flow on parametric acoustic array modal response in surface fluctuation waveguides2
A new fifth order finite difference WENO scheme to improve convergence rate at critical points2
Extended plane wave expansion formulation for viscoelastic phononic thin plates2
N-periodic wave solutions of the (2+1)-dimensional integrable nonloc2
Numerical analysis of ultrasonic wave propagation and scattering in oligo-crystalline materials2
Fully conservative difference schemes for the rotation-two-component Camassa–Holm system with smooth/nonsmooth initial data2
Breathers, rogue waves and breather–rogue waves on a periodic background for the modified nonlinear Schrödinger equation2
Scattering of water waves by multiple rows of vertical thin barriers2
Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct2
One-way collinear wave mixing in solids with cubic nonlinearity based on Murnaghan’s potential2
An arbitrary Lagrangian–Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: An implicit method2
Derivation of weakly interacting lumps for the (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation via degeneracy of lump chains2
Detection of surface defects based on the optimized scanning laser source method2
Compactons in a class of doubly sublinear Gardner equations2
Ultrasonic wave propagation in randomly layered heterogeneous media2
Scaling of waves between monotone slopes2
Study of lamb wave hybrid imaging technology in high noise environments2
A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles2
Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber2
Generation of double Sasa-Satsuma, double Kuznetsov-Ma and other exotic solutions of cubic-quintic Ginzburg-Landau equation in a left-handed material2
Data-driven modeling of two-dimensional detonation wave fronts2
The cubic vortical Whitham equation2
Modulation theory of solitonmean flow in Korteweg–de Vries equation 2
Vector solitons and localized waves of two coupled nonlinear Schrödinger equations in the nonlinear electrical transmission line lattice2
A comparative study of two different shallow water formulations using stable summation by parts schemes2
Manipulation of acoustic wave scattering from cylindrical shells using a coating of FG magneto-electro-elastic composite materials: Active acoustic cloaking2
Wide range of wave attenuation in beam-supported stepped hybrid phononic crystals2
Size-dependent torsional oscillation of an elastic wire with circular cross-section2
On the full dispersion Kadomtsev–Petviashvili equations for dispersive elastic waves2
An analytical approach for the analysis of stress wave transmission and reflection in waveguide systems based on Timoshenko beam theory2
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