Wave Motion

Article	Citations
A new hierarchical control for the wave equation	77
Inversion of circumferential elastic waves for characterization of concrete pipes	61
Experimental study on insertion loss of air bubble layer in freestream flow	54
Quantitative error assessment of radiative transfer approximations of acoustic wave energies in unbounded and bounded random media	46
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds	39
Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations	37
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions	32
Embedded wave generation technique for two-layer non-hydrostatic models	31
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response	28
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes	25
Numerical scheme for the generalised Serre–Green–Naghdi model	24
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 23
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water	21
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation	20
Transmission properties of Kolakoski aperiodic phononic crystals	19
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity	19
Nonlinear dispersive waves in fluids and solids	18
Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag	18
Guided modes of helical waveguides	18
The ∂¯-dressing method and soliton solutions for the two-component coupled Sasa-Satsuma system with a 5 × 5 Lax pair	17
Waves generated by moving loads on ice plates: Viscoelastic approximations	16
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils	16
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term	16
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension	16
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate	16

High frequency homogenization for a one-dimensional acoustic black hole lattice	16
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network	15
Spiral waves and localized modes in dispersive wave equations	15
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations	14
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation	14
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island	14
Nonlinear concentric water waves of moderate amplitude	14
Velocity and energy of periodic travelling interfacial waves between two bounded fluids	14
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves	14
Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads	13
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids	13
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection	13
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations	13
On peridynamic acoustics	12
On the generation of optical third-harmonic through quasi-phase-matching in quadratic nonlinear crystals	12
An analysis of solutions derived from a general third-order flow equation of the Kaup-Newell system	12
Compactons in a class of the Magma-Gardner equations	12
The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array	12
Improved prediction of the front runner in roll waves produced by localized disturbance	12
Lump-wave structures and their dynamic behavior in a refined Bogoyavlensky-Konopelchenko-like model	11
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method	11
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains	11
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides	11
Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation	11
Exact solutions of the reverse space-time higher-order modified self-steepening nonlinear Schrödinger equation	11
Luneburg cloak with pentamode metafluid	10
Depth-dependent spectral filtering of broadband acoustic waves in attenuating media	10
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling	10
Thermal solitons in nanotubes	10
N-(soliton, breather) interactions for general multi-component thir	10
Numerical treatment of the Sine-Gordon equations via a new DQM based on cubic unified and extended trigonometric B-spline functions	9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system	9
Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method	9
Compressive and shear wave propagation in viscoelastic solid medium as a consequence of prescribed initial displacement fields	9
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation	9
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate	9
Localized wave fission phenomena and numerical simulation with symmetry data-enhanced PINNs of the (2+1)-dimensional generalized Broer-Kaup system	9
Physics-informed machine learning for the inverse design of wave scattering clusters	9
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control	9
Integration of the periodic Harry Dym equation with a source	9
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential	9
Time dependent wave propagation in waveguides with rectangular scattering regions	8
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations	8
N-soliton solutions of four-wave mixing coupled Schrödinger equations	8
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems	8
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media	8
Localized wave solutions and mixed interaction structures in the AB system	8
Transformation design of in-plane elastic cylindrical cloaks, concentrators and lenses	8
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach	8
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media	8

On the evolution of complex signals and structures in media without dispersion	8
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water	7
Phonon focusing and polaritons of GaN	7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking	7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation	7
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions	7
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation	7
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials	7
Model study of ocean wave propagation through broken sea ice covers with variable ice concentration	7
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background	7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates	7
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media	7
An integrated IGABEM-DNN-CGAN framework for efficient electromagnetic scattering analysis of two dimensional dielectric structures	7
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework	7
From snaking to isolas: A one-active-site approximation in discrete optical cavities	7
Highly localized horseshoe ripplons and solitons in positive dispersion media	7
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation	7
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space	7
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation	7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder	7
Evolution of nonlinear waves with heterogeneous damping and forcing	7
Acoustic axes conditions revised	7
Local absorbing boundary conditions for the elastic wave equation	7
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields	7
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes	7
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface	7
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis	7
Wave resonances and the time-dependent capillary gravity wave motion	7
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans	7
Longitudinal wave propagation in a practical metamaterial lattice	7
Longitudinal and transverse coherent waves in media containing randomly distributed spheres	6
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background	6
Stroh formalism for rotating functionally graded piezo-composite layered waveguide with non-ideal interface	6
Scattering of an Ostrovsky wave packet in a delaminated waveguide	6
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities	6
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation	6
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
Modelling of the propagation of ultrasonic waves in thick-walled cylinders during circumferential scanning	6
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background	6
Thin-layer solutions to the Helmholtz equation in three dimensions	6
A simple model of radiating solitary waves	6
Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation	6
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation	6
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves	6
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone	6
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation	6
Navigating the Hilbert space of elastic bell states in driven coupled waveguides	5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves	5
Multi-parametric solutions to the functional difference KdV equation	5
Study on the frequency dispersion characteristics and waveform conversion of turnout cross-section rails	5
Higher-order breather and interaction solutions to the (3+1)-dimensional Mel’nikov equation	5
Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses	5
Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory	5
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects	5
The mechanism of energy accumulation in dynamic pulses traveling through checkerboard material assembly in space-time	5
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions	5
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation	5
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves	5
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background	5
Novel solitary patterns in a class of regularized Gardner equations	5
Analysis of sound radiation from a vibrating clamped thin rectangular plate without baffle and in the rigid baffle using exact formulas	5
Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid	5
On the proximity of Ablowitz–Ladik and discrete nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions	5
Constitutive modelling and wave propagation through a class of anisotropic elastic metamaterials with local rotation	5
Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures	5
Combined harmonic generation of feature guided waves mixing in a welded joint	5
Rogue wave solutions and modulational instability of a (3+1)-dimensional integrable nonlinear evolution equation	5
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system	5
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory	5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies	5
Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media	5
Self-programmed finite element calculation on underwater sound absorption of the coating	5
Discrimination between weak adhesion, delamination and kissing bond at the interfaces of composite bonded assemblies	5
Rapid computation of sound transmission in fluid-filled pipes coupled with an outer elastic medium	5
Nonlinear modulation of capillary waves on linear shear flows in finite depth	5
Numerical investigations for micro-crack evaluation and localization in pipelines using nonlinear ultrasonic guided wave combining deep learning	4
Elastic coupled phase theory based on the Cosserat equations: Propagation of coherent waves	4
Morphology influence on the acoustic properties of permeo-elastic media	4
Breathers and rogue waves on the periodic background in the Hirota and the Maxwell-Bloch equations	4
Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations	4

A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects	4
Fast design of non-uniform acoustic waveguides with prescribed eigenfrequencies	4
Barycentric Lagrange interpolation collocation method for solving the Sine–Gordon equation	4
Ultrasonic field estimation for random P -and S-wavenumbers in isotropic solids using DPSM	4
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets	4
Exploring nonlinear wave dynamics through an extended (2+1)-dimensional nonlinear evolution equation: Integrability and pfaffian solutions	4
Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations	4
Time-lapse global inversion for surface-waves: A differential approach using a linear approximation of the Rayleigh wave phase velocity	4
A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media	4
The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach	4
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab	4
Correction in the continuity conditions for beams with structure governed by the Timoshenko–Ehrenfest equation	4
Symmetry-induced quasicrystalline waveguides	4
A numerical study on the penetrability and directivity of the difference-frequency component beam in bubbly liquids obtained via parametric acoustic array	4
Linear propagation of tsunami and acoustic–gravity waves on a sphere: Geometrical focusing and defocusing	4
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal	4
Erratum: “Transformation of phase velocity among inertial frames” [Wave Motion 50 (2013) 520-524]	4
Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field	4
Singular twist waves in chromonic liquid crystals	4
Deterministic and stochastic theory for a resonant triad	4
Planar Lorentz invariant velocities with a wave equation application	4
Numerical study of solitary wave equations of fractional order via modified cubic B-spline collocation technique	4
Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach	4
Full reconstruction of acoustic wavefields by means of pointwise measurements	4
Surface velocity reconstruction of a vibrating structure based on dictionary learning and sparse sampling	4
Floquet scattering of shallow water waves by a vertically oscillating plate	4
Improving missing data imputation in significant wave height time series data using Fourier-wavelet-based compressed sensing	4
Effects of surface roughness on generalised Rayleigh waves in elastic waveguides	4
Riemann–Hilbert approach for the inhomogeneous discrete nonlinear Schrödinger equation with nonzero boundary conditions	4
Nonlinear waves in pantographic beams induced by transverse impulses	4
The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions	4
Research on a leakage localization model of HDPE membranes based on ultrasonic principles	4
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium	4
The effect of different edge conditions on the motion of a submerged elastic disc	3
Asymptotic analysis on a Lakshmanan–Porsezian–Daniel equation in nonlinear optics	3
Convergence enhanced homotopy approach for KdV-Burgers’ and generalized models	3
Quasiperiodic-to-soliton conversions and their mechanisms of the (	3
Anelastic and anisotropic direct and adjoint wave propagation with force memory variables and variable topography or bathymetry: Applications to the finite-difference SBP-SAT scheme in the curvilinear	3
A latticed metamaterial with mutual conversion characteristics between pentamode and bandgap	3
Low mode interactions in water wave model in triangular domain	3
A family of finite spherical pulses for the wave equation	3
Fourth-order Stokes theory for capillary–gravity waves in arbitrary water depth on linear shear currents	3
Patterns of rational solutions in a split-ring-resonator-based left-handed coplanar waveguide	3
Wavefield focusing using a generalised, potentially asymmetric homogeneous Green’s function	3
Assessment of a technique for faster time integration in application to seismic wave propagation analysis	3
Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements	3
The natural frequencies of AISI 316 stainless steel and analytical simulation of a Lamb wave excited by a point source	3
Integrable generalization of the modified Camassa–Holm equation in 2	3
N-soliton solutions and their dynamic analysis to the generalized com	3
Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation	3
A topology optimization of open acoustic waveguides based on a scattering matrix method	3
Addendum to “Poroacoustic solitary waves under the unidirectional Darcy–Jordan model” [Wave Motion 94 (2020) 102498]	3
Optical fibers with a frequency-dependent Kerr nonlinearity: Theory and applications	3
Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation	3
Numerical and experimental investigations on wave transmission reduction using vegetation models	3
Investigating Rayleigh wave anisotropy in faulted media with three-component beamforming: Insights from numerical models and applications for geothermal exploration	3
A higher dimensional model of geophysical fluid with the complete Coriolis force and vortex structure	3
Effect of damage on Rayleigh wave propagation in second gradient lattice materials	3
Wave solutions to an integrable negative order KdV equation	3
Nonlinear waves and transitions mechanisms for (2+1)-dimensional Korteweg–de Vries-Sawada-Kotera-Ramani equation	3
Exotic coherent structures and their collisional dynamics in a (3+1) dimensional Bogoyavlensky–Konopelchenko equation	3
Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers	3
New exact solutions of some (2+1)-dimensional nonlinear evolution equations and folding waves	3
Non-degenerate and degenerate soliton solutions to the semi-discrete vector nonlinear Schrödinger system	3
Energetics of tidally induced internal waves over isolated seamount	3
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized	3
Fully explicit numerical scheme for linearized wave propagation in nearly-incompressible soft hyperelastic solids	3
Evolutionary equations of a sharing-bicycle system and their solutions	3
Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation	3
State transition and branch structure dynamics of localized waves for the (2+1)-dimensional Fokas system in optical fibers	3
Time-dependent modelling of a circular ice shelf	3
Surface acoustic waves in laterally periodic superlattices	3
Wave scattering by an array of submerged bars: An analytic approach	3
Shock structure solutions of Grad 13-moment equations for binary gas mixtures	3
Solitary wave solutions and their limits to the fractional Schrödinger system	3
Hamiltonian model for water waves in a triangular domain	3
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation	3
Internal solitary waves in the presence of linear and nonlinear shear-currents	3
Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves	3
Steady-state hydroelastic waves generated by a moving load in a uniform current	3
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile	3
On the matrix negative order Korteweg–de Vries equation — the commutative case	3
On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics	3
On the peak acceleration of a beam in response to a shock and its validity for cylindrical pipes	3
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation	3
The Malyuzhinets—Popov diffraction problem revisited	3
Novel soliton motion with time-varying wave-width and amplitude as well as velocity through a reverse-space-time nonlocal variable-coefficient mKdV equation	3
Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator	3
Low-frequency sub-Bragg phenomena in multilayered vibroacoustic metamaterials	3
Analytical investigation of free vibration analysis in functionally graded graphene platelet-reinforced composite beams	3
Zero-frequency corner modes in mechanical graphene	3
Dynamics of localized waves and interactions in a (2	3
Solitons, dispersive shock waves and Noel Frederick Smyth	3
Forced vibrations of a rolling tyre	3
Compactons in a class of doubly sublinear Gardner equations	2