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 2022-06-01 to 2026-06-01.)
ArticleCitations
A new hierarchical control for the wave equation57
Inversion of circumferential elastic waves for characterization of concrete pipes54
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water53
Numerical scheme for the generalised Serre–Green–Naghdi model38
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 36
Experimental study on insertion loss of air bubble layer in freestream flow36
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions32
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response28
Embedded wave generation technique for two-layer non-hydrostatic models28
Quantitative error assessment of radiative transfer approximations of acoustic wave energies in unbounded and bounded random media22
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes22
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds21
Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations20
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity19
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation19
Transmission properties of Kolakoski aperiodic phononic crystals18
Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag18
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate16
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils16
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams16
Guided modes of helical waveguides16
Nonlinear dispersive waves in fluids and solids16
High frequency homogenization for a one-dimensional acoustic black hole lattice15
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations15
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term15
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension15
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network14
Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads14
Spiral waves and localized modes in dispersive wave equations14
Velocity and energy of periodic travelling interfacial waves between two bounded fluids14
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation13
Nonlinear concentric water waves of moderate amplitude13
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids13
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves13
On the generation of optical third-harmonic through quasi-phase-matching in quadratic nonlinear crystals13
Compactons in a class of the Magma-Gardner equations13
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island13
On peridynamic acoustics12
Waves generated by moving loads on ice plates: Viscoelastic approximations12
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations12
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains12
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection12
Improved prediction of the front runner in roll waves produced by localized disturbance11
Luneburg cloak with pentamode metafluid11
Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation11
An analysis of solutions derived from a general third-order flow equation of the Kaup-Newell system11
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method11
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling11
The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array11
Exact solutions of the reverse space-time higher-order modified self-steepening nonlinear Schrödinger equation11
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential10
Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method10
N-(soliton, breather) interactions for general multi-component thir10
Thermal solitons in nanotubes10
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides10
Physics-informed machine learning for the inverse design of wave scattering clusters9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system9
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations9
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation9
Compressive and shear wave propagation in viscoelastic solid medium as a consequence of prescribed initial displacement fields9
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma9
Integration of the periodic Harry Dym equation with a source9
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media9
Numerical treatment of the Sine-Gordon equations via a new DQM based on cubic unified and extended trigonometric B-spline functions9
Transformation design of in-plane elastic cylindrical cloaks, concentrators and lenses9
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems9
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach9
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control9
Time dependent wave propagation in waveguides with rectangular scattering regions8
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media8
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans8
On the evolution of complex signals and structures in media without dispersion8
N-soliton solutions of four-wave mixing coupled Schrödinger equations8
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation8
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate8
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis8
Localized wave solutions and mixed interaction structures in the AB system8
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
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes7
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking7
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background7
Model study of ocean wave propagation through broken sea ice covers with variable ice concentration7
Highly localized horseshoe ripplons and solitons in positive dispersion media7
Local absorbing boundary conditions for the elastic wave equation7
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system7
Acoustic axes conditions revised7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation7
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation7
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials7
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields7
Wave resonances and the time-dependent capillary gravity wave motion7
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation7
Phonon focusing and polaritons of GaN7
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background6
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background6
Evolution of nonlinear waves with heterogeneous damping and forcing6
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water6
Longitudinal wave propagation in a practical metamaterial lattice6
Determinant solitons and rational lump waves in a (3+1)-dimensional extended Korteweg-de Vries equation6
Modelling of the propagation of ultrasonic waves in thick-walled cylinders during circumferential scanning6
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone6
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation6
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation6
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
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework6
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation6
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves6
Thin-layer solutions to the Helmholtz equation in three dimensions6
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening6
Stroh formalism for rotating functionally graded piezo-composite layered waveguide with non-ideal interface6
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background6
Longitudinal and transverse coherent waves in media containing randomly distributed spheres6
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: An elastic plate loaded by a fluid layer with uniform mean flow6
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions6
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media6
Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation6
Scattering of an Ostrovsky wave packet in a delaminated waveguide6
Navigating the Hilbert space of elastic bell states in driven coupled waveguides5
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves5
Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media5
Breathers and rogue waves on the periodic background in the Hirota and the Maxwell-Bloch equations5
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation5
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities5
Combined harmonic generation of feature guided waves mixing in a welded joint5
Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses5
Rogue wave solutions and modulational instability of a (3+1)-dimensional integrable nonlinear evolution equation5
Discrimination between weak adhesion, delamination and kissing bond at the interfaces of composite bonded assemblies5
Novel solitary patterns in a class of regularized Gardner equations5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies5
Multi-parametric solutions to the functional difference KdV equation5
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory5
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system5
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves5
Higher-order breather and interaction solutions to the (3+1)-dimensional Mel’nikov equation5
Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures5
Acoustic radiation torque of a cylindrical quasi-Gauss beam on a viscoelastic cylindrical shell near an impedance boundary5
A simple model of radiating solitary waves5
Linear propagation of tsunami and acoustic–gravity waves on a sphere: Geometrical focusing and defocusing4
A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media4
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal4
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets4
Symmetry-induced quasicrystalline waveguides4
Singular twist waves in chromonic liquid crystals4
Effects of surface roughness on generalised Rayleigh waves in elastic waveguides4
A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects4
Elastic coupled phase theory based on the Cosserat equations: Propagation of coherent waves4
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium4
Full reconstruction of acoustic wavefields by means of pointwise measurements4
Nonlinear modulation of capillary waves on linear shear flows in finite depth4
On the proximity of Ablowitz–Ladik and discrete nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions4
Rapid computation of sound transmission in fluid-filled pipes coupled with an outer elastic medium4
Fast design of non-uniform acoustic waveguides with prescribed eigenfrequencies4
Analysis of sound radiation from a vibrating clamped thin rectangular plate without baffle and in the rigid baffle using exact formulas4
Barycentric Lagrange interpolation collocation method for solving the Sine–Gordon equation4
Correction in the continuity conditions for beams with structure governed by the Timoshenko–Ehrenfest equation4
Nonlinear waves in pantographic beams induced by transverse impulses4
Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations4
The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions4
Time-lapse global inversion for surface-waves: A differential approach using a linear approximation of the Rayleigh wave phase velocity4
The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach4
Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach4
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects4
Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid4
Improving missing data imputation in significant wave height time series data using Fourier-wavelet-based compressed sensing4
The mechanism of energy accumulation in dynamic pulses traveling through checkerboard material assembly in space-time4
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab4
Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory4
Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations4
A numerical study on the penetrability and directivity of the difference-frequency component beam in bubbly liquids obtained via parametric acoustic array4
Research on a leakage localization model of HDPE membranes based on ultrasonic principles4
Interfacial wave between acoustic media with Willis coupling4
Deterministic and stochastic theory for a resonant triad4
Planar Lorentz invariant velocities with a wave equation application4
Numerical study of solitary wave equations of fractional order via modified cubic B-spline collocation technique4
Morphology influence on the acoustic properties of permeo-elastic media4
Floquet scattering of shallow water waves by a vertically oscillating plate4
Self-programmed finite element calculation on underwater sound absorption of the coating4
Surface velocity reconstruction of a vibrating structure based on dictionary learning and sparse sampling4
Constitutive modelling and wave propagation through a class of anisotropic elastic metamaterials with local rotation4
Representing rogue waves in minimal form4
Effect of damage on Rayleigh wave propagation in second gradient lattice materials3
Optical fibers with a frequency-dependent Kerr nonlinearity: Theory and applications3
Exploring nonlinear wave dynamics through an extended (2+1)-dimensional nonlinear evolution equation: Integrability and pfaffian solutions3
Zero-frequency corner modes in mechanical graphene3
Solitons, dispersive shock waves and Noel Frederick Smyth3
Quasiperiodic-to-soliton conversions and their mechanisms of the (3
The natural frequencies of AISI 316 stainless steel and analytical simulation of a Lamb wave excited by a point source3
Integrable generalization of the modified Camassa–Holm equation in 23
A higher dimensional model of geophysical fluid with the complete Coriolis force and vortex structure3
Investigating Rayleigh wave anisotropy in faulted media with three-component beamforming: Insights from numerical models and applications for geothermal exploration3
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile3
Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials3
Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves3
Dynamics of localized waves and interactions in a (23
Experimental demonstration of Willis coupling for elastic torsional waves3
Numerical and experimental investigations on wave transmission reduction using vegetation models3
Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field3
Fully explicit numerical scheme for linearized wave propagation in nearly-incompressible soft hyperelastic solids3
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation3
Analytical investigation of free vibration analysis in functionally graded graphene platelet-reinforced composite beams3
Assessment of a technique for faster time integration in application to seismic wave propagation analysis3
The effect of different edge conditions on the motion of a submerged elastic disc3
State transition and branch structure dynamics of localized waves for the (2+1)-dimensional Fokas system in optical fibers3
N-soliton solutions and their dynamic analysis to the generalized com3
Nonlinear waves and transitions mechanisms for (2+1)-dimensional Korteweg–de Vries-Sawada-Kotera-Ramani equation3
Mode computation of immersed multilayer plates by solving an eigenvalue problem3
Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation3
Convergence enhanced homotopy approach for KdV-Burgers’ and generalized models3
Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation3
Non-degenerate and degenerate soliton solutions to the semi-discrete vector nonlinear Schrödinger system3
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
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
On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics3
A latticed metamaterial with mutual conversion characteristics between pentamode and bandgap3
Forced vibrations of a rolling tyre3
Asymptotic analysis on a Lakshmanan–Porsezian–Daniel equation in nonlinear optics3
Time-dependent modelling of a circular ice shelf3
Surface acoustic waves in laterally periodic superlattices3
Patterns of rational solutions in a split-ring-resonator-based left-handed coplanar waveguide3
A topology optimization of open acoustic waveguides based on a scattering matrix method3
Low-frequency sub-Bragg phenomena in multilayered vibroacoustic metamaterials3
Hamiltonian model for water waves in a triangular domain3
Shock structure solutions of Grad 13-moment equations for binary gas mixtures3
Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator3
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation3
Wave scattering by an array of submerged bars: An analytic approach3
A family of finite spherical pulses for the wave equation3
Ultrasonic field estimation for random P -and S-wavenumbers in isotropic solids using DPSM3
Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation3
Solitary wave solutions and their limits to the fractional Schrödinger system3
Numerical investigations for micro-crack evaluation and localization in pipelines using nonlinear ultrasonic guided wave combining deep learning3
Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements3
Hydrodynamics interaction between water waves of small amplitude and non-uniform marine currents in the liquefaction depth of poroelastic soils2
Scattering of water waves by multiple rows of vertical thin barriers2
One-way collinear wave mixing in solids with cubic nonlinearity based on Murnaghan’s potential2
Manipulation of acoustic wave scattering from cylindrical shells using a coating of FG magneto-electro-elastic composite materials: Active acoustic cloaking2
An analytical approach for the analysis of stress wave transmission and reflection in waveguide systems based on Timoshenko beam theory2
An arbitrary Lagrangian–Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: An implicit method2
Wave propagation in angle regulated canonical quasicrystalline-generated laminates2
Generation of double Sasa-Satsuma, double Kuznetsov-Ma and other exotic solutions of cubic-quintic Ginzburg-Landau equation in a left-handed material2
Study on the influence of flow on parametric acoustic array modal response in surface fluctuation waveguides2
Breather dynamics and the role of near-neighbor coupling in charge transport within the Holstein-SSH DNA model2
Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct2
0.11086916923523