Wave Motion

Article	Citations
Soliton solutions to the B-type Kadomtsev–Petviashvili equation under general dispersion relations	107
Characteristics of rogue waves on a periodic background for the Hirota equation	51
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation	41
Low-frequency flexural wave attenuation in metamaterial sandwich beam with hourglass lattice truss core	28
Analytical methods for perfect wedge diffraction: A review	26
Bandgap design of three-phase phononic crystal by topological optimization	26
Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model	23
Investigation of flexural wave band gaps in a locally resonant metamaterial with plate-like resonators	22
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach	19
Plate arrays as a perfectly-transmitting negative-refraction metamaterial	19
Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties	17
Active control of flexural waves in a phononic crystal beam with staggered periodic properties	17
Some discrete soliton solutions and interactions for the coupled Ablowitz–Ladik equations with branched dispersion	16
Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher–Kolmogorov model	16
Phase downshift or upshift of Bragg resonance for water wave reflection by an array of cycloidal bars or trenches	16
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets	16
Nonlinear elastic wave propagation in a phononic material with periodic solid–solid contact interface	14
Experimental investigation of impact of environmental temperature and optimal baseline for thermal attenuation in structural health monitoring based on ultrasonic guided waves	13
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation	13
Wave dispersion and dissipation performance of locally resonant acoustic metamaterials using an internal variable model	13
Akhmediev breather signatures from dispersive propagation of a periodically phase-modulated continuous wave	13
Shape optimization of acoustic devices using the Scaled Boundary Finite Element Method	13
Dynamics of lump–soliton solutions to the PT	13
Response of second-harmonic generation of Lamb wave propagation to microdamage thickness in a solid plate	13
Model for analytical investigation on meta-lattice truss for low-frequency spatial wave manipulation	13

Inhomogeneous wave propagation in partially saturated soils	12
Theoretical and numerical investigations of the nonlinear acoustic response of feature guided waves in a welded joint	12
Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves	12
Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov–Ivanov equation	12
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening	12
Numerical simulation of solitary waves overtopping on a sloping sea dike using a particle method	12
On the role of resonance and thermoviscous losses in an implementation of “acoustic black hole” for sound absorption in air	12
A generalized complex mKdV equation: Darboux transformations and explicit solutions	12
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background	11
Bending waves in a semi-infinite piezoelectric plate with edge coated by a metal strip plate	11
A finite wavelet domain method for wave propagation analysis in thick laminated composite and sandwich plates	11
Wave self-interactions in continuum phononic materials with periodic contact nonlinearity	10
Application of the Ritz–Rayleigh method for Lamb waves in extremely anisotropic media	10
Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev–Petviashvili equation based on Bell-polynomial approach	10
Analytical solutions of tsunamis generated by underwater earthquakes	10
Nonlinear frequency mixing of Lamb wave for detecting randomly distributed microcracks in thin plates	10
Homogenization of piezoelectric planar Willis materials undergoing antiplane shear	10
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform	10
The electromomentum effect in piezoelectric Willis scatterers	10
Singularities and spectral asymptotics of a random nonlinear wave in a nondispersive system	9
Analytical solutions for crack-like scatterers and sources in isotropic elastic plates	9
Direct numerical study of speed of sound in dispersed air–water two-phase flow	9
Coupled Lamb waves propagation along the direction of non-principal symmetry axes in pre-stressed anisotropic composite lamina	9
Second-harmonic generation of two-dimensional elastic wave propagation in an infinite layered structure with nonlinear spring-type interfaces	9
A discontinuous variational principle implying a non-equilibrium dispersion relation for damped acoustic waves	9
A WKB derivation for internal waves generated by a horizontally moving body in a thermocline	9
Boundary-layer approach to high-frequency diffraction by a jump of curvature	9
Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme	8
Hydroelastic response of a floating plate on the falling film: A stability analysis	8
Bleustein–Gulyaev waves in a finite piezoelectric material loaded with a viscoelastic fluid	8
Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock	8
Sommerfeld-type integrals for discrete diffraction problems	8
Propagation of Rayleigh waves on curved surfaces	8
The cubic vortical Whitham equation	8
Isogeometric collocation for acoustic problems with higher-order boundary conditions	8
Variational Boussinesq model for kinematics calculation of surface gravity waves over bathymetry	8
Computational simulation of water removal from a flat plate, using surface acoustic waves	8
Jordan–Cattaneo waves: Analogues of compressible flow	8
Rankine–Hugoniot conditions for fluids whose energy depends on space and time derivatives of density	8
Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers	8
Prediction of local resonance band gaps in 2D elastic metamaterials via Bloch mode identification	8
Acoustic radiation force on an elastic cylinder in a Gaussian beam near an impedance boundary	8
A pair of modified short pulse equations and its two-component system in nonlinear media	8
Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations	8
Bound States in the Continuum in Elasticity	8
Numerical estimation of the influence of joint stiffness on free vibrations of frame structures via the scattering of waves at elastic joints	8
A study on the Holian conjecture and Linear Irreversible Thermodynamics for shock-wave structure	7
Numerical simulation of ultrasonic time reversal on defects in carbon fibre reinforced polymer	7
Ultralow-frequency band gap in a quasi-zero-stiffness multi-resonator periodic hybrid structure	7
Extended shallow water wave equations	7

Investigation of critical delamination characteristics in composite plates combining cubic spline piezo-layerwise mechanics and time domain spectral finite elements	7
Dynamic response of an infinite thin plate loaded with concentrated masses	7
Highly accurate numerical scheme based on polynomial scaling functions for equal width equation	7
Wave propagation in double helical rods	7
Legendre orthogonal polynomial method in calculating reflection and transmission coefficients of fluid-loaded functionally gradient plates	7
Investigation of thermal effects on the steady-state vibrations of a rectangular plate–cavity system subjected to harmonic loading and static temperature loads using a Wave Based Method	6
Tunnelling around bends—Wave scattering in curved shell structures	6
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma	6
Linearized scattering problem in acoustic transversely isotropic media with a vertical symmetry axis	6
Green’s function analysis of shear wave propagation in heterogeneous poroelastic sandwiched layer influenced by an impulsive source	6
A frequency domain method for scattering problems with moving boundaries	6
Nonlinear waves in pantographic beams induced by transverse impulses	6
Structure optimization of quasi one-dimensional acoustic filters with the use of a genetic algorithm	6
Dispersion characteristics of wave propagation in layered piezoelectric structures: Exact and simplified models	6
Poroacoustic solitary waves under the unidirectional Darcy–Jordan model	6
Towards the conception of complex engineering meta-structures: Relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screens	6
New solutions of the C.S.Y. equation reveal increases in freak wave occurrence	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
Time-dependent wave propagation on a variable Winkler foundation with compression	6
Cloaking of a circular cylindrical elastic inclusion from antiplane elastic waves and resonance effects	6
Full-wave numerical simulation of nonlinear dissipative acoustic standing waves in wind instruments	6
Active tsunami generation by tectonic seafloor deformations of arbitrary geometry considering rupture kinematics	6
Statistical approach of modulational instability in the class of nonlocal NLS equation involving nonlinear Kerr-like responses with non-locality: Exact and approximated solutions	6
Active control of Helmholtz fields in 3D using an array of sources	6
On invariance in 1+1-dimensional isentropic relativistic gasdynamics	6
Experimental demonstration of Willis coupling for elastic torsional waves	5
Asymptotic modeling of Helmholtz resonators including thermoviscous effects	5
Interaction between long water waves and two fixed submerged breakwaters of wavy surfaces	5
Breathers, rogue waves and breather–rogue waves on a periodic background for the modified nonlinear Schrödinger equation	5
Flexural edge waves in a Kirchhoff plate carrying periodic edge resonators and resting on a Winkler foundation	5
Shear shock formation in incompressible viscoelastic solids	5
Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects	5
Are waves with negative spatial damping unstable?	5
Scattering of long flexural gravity wave due to structural heterogeneity in the framework of wave blocking	5
Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation	5
Transmission and reflection of waves at structural junctions connecting thin orthotropic plates	5
Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane	5
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes	5
Beam generating and sound field modeling of flexible phased arrays for inspecting complex geometric components	5
Dynamic analysis of wave propagation and buckling phenomena in carbon nanotubes(CNTs)	5
On the dynamic behaviour of discrete metamaterials: From attenuation to energy localization	5
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation	5
Design and analysis of tunable acoustic channel drop filter based on fluid–fluid phononic crystal ring resonators	5
An exact DtN artificial boundary condition for motion analysis of water wave with undulated seabed	5
Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior	5
New insights into topographically feature guided waves (FGW) propagation in non-uniform elastic waveguides	5
Finite scale theory: Predicting nature’s shocks	5
On the scattering and radiation of water waves by a finite dock floating over a rectangular trench	5
Space–time evolution of optical breathers and modulation instability patterns in metamaterial waveguides	5
Wave-based analysis of dual acoustic black holes for anechoic termination of shock testing devices	5
The application of the Lattice Boltzmann method to the one-dimensional modeling of pulse waves in elastic vessels	4
Mode computation of immersed multilayer plates by solving an eigenvalue problem	4
Multi-component AKNS systems	4
The sesquicentennial of Rankine’s On the Thermodynamic Theory of Waves of Finite Longitudinal Disturbance: Recent advances in nonlinear acoustics and gas dynamics	4
Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction	4
Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials	4
The mKdV equation and multi-parameters rational solutions	4
Acoustoelastic effect simulation by time–space finite element formulation based on quadratic interpolation of the acceleration	4
The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation	4
Propagation of Rayleigh wave in initially-stressed compressible hyperelastic materials	4
Modal decomposition of polychromatic internal wave fields in arbitrary stratifications	4
Soliton solutions to the reverse-time nonlocal Davey–Stewartson III equation	4
Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation	4
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations	4
Binary Darboux transformation for the Gerdjikov–Ivanov equation	4
Rattle noise source localization through the time reversal of dispersive vibration signals on a road vehicle	4
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface	4
Full reconstruction of acoustic wavefields by means of pointwise measurements	4
Shock wave evolution into strain solitary wave in nonlinearly elastic solid bar	4
Jump-like inelasticity in sandstone and its effect on the amplitude dependence of P-wave attenuation: An experimental study	4
CADD: A seamless solution to the Domain Decomposition problem of subdomain boundaries and cross-points	4
The integrability of a (2+1)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions	4
A Mathematical Model for Investigating The Resonance Phenomenon in Lakes	4
Array of line sources that produces preselected plane waves	4
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams	4
Dark soliton solutions for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in the inhomogeneous optical fiber	4
Variational principles and finite element Bloch analysis in couple stress elastodynamics	4
The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem	4
Scattering of an Ostrovsky wave packet in a delaminated waveguide	3
Longitudinal and transverse coherent waves in media containing randomly distributed spheres	3

Waves generated by moving loads on ice plates: Viscoelastic approximations	3
Numerical computation of solitary wave solutions of the Rosenau equation	3
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network	3
A 3D analysis of the acoustic radiation force in microfluidic channel with rectangular geometry	3
Modulational instability of gap solitons in single-walled carbon nanotube lattices	3
Interface effects on the electromagnetic radiation emanating from an embedded piezoelectric nano-fiber incident upon by SH-waves	3
Wave propagation in an unconsolidated granular material: A micro-mechanical approach	3
An integrated study of wave attenuation by vegetation	3
Rational solutions to the KPI equation from particular polynomials	3
Waves in the cochlea and in acoustic rainbow sensors	3
Application of state vector formalism and Legendre polynomial hybrid method in the longitudinal guided wave propagation analysis of composite multi-layered pipes	3
Revisiting effective acoustic propagation in labyrinthine metasurfaces	3
Revisiting Manne et al. (2000): A reformulation and alternative interpretation under the modified internal energy theory of second-sound	3
Perfect Brewster transmission through ultrathin perforated films	3
Wide range of wave attenuation in beam-supported stepped hybrid phononic crystals	3
Forced vibrations and wave propagation in multilayered solid spheres using a one-dimensional semi-analytical finite element method	3
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions	3
A new fifth order finite difference WENO scheme to improve convergence rate at critical points	3
Reconciling different formulations of viscous water waves and their mass conservation	3
Second gradient electrodynamics: Green functions, wave propagation, regularization and self-force	3
Stress formulation of acoustoelasticity	3
Thermal solitons in nanotubes	3
SPH evaluation of the hydrodynamic consequences induced by reef degradation	3
Rational solutions to the mKdV equation associated to particular polynomials	3
Modulated periodic wavetrains in the spherical Gardner equation	3
Navigating the Hilbert space of elastic bell states in driven coupled waveguides	3
Wave energy dissipation by a floating horizontal porous plate in oblique incident waves	3
Reflection and transmission of transient ultrasonic wave in fractal porous material: Application of fractional calculus	3
Experimental study and numerical simulation of mean longshore current for mild slope	3
Breather arrest in a chain of damped oscillators with Hertzian contact	3
A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions	3
Influence of contact interface morphology on the nonlinear interaction between a longitudinal wave and a contact interface with friction : A numerical study	3
Modeling acoustic waves in locally enhanced meshes with a staggered-grid finite difference approach	3
A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects	3
Some personal reflections on acoustic metamaterials	3
Symmetry-induced quasicrystalline waveguides	3
High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods	3
On acoustic scattering of beams	2
Implementation of Deutsch and Deutsch–Jozsa-like algorithms involving classical entanglement of elastic bits	2
A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators	2
On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics	2
Coherent propagation and incoherent diffusion of elastic waves in a two dimensional continuum with a random distribution of edge dislocations	2
Representing rogue waves in minimal form	2
Machine and deep learning for coating thickness prediction using Lamb waves	2
On dynamics of multi-solitons for the good Boussinesq (gB) equation	2
Extended KP equation and solutions with special properties	2
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation	2
Thermal effects in short laser pulses: Suppression of wave collapse	2
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation	2
Modulated wave patterns brought by higher-order dispersion and cubic–quintic nonlinearity in monoatomic chains with anharmonic potential	2
Nonlinear waves in viscous multilayer shear flows in the presence of interfacial slip	2
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation	2
Ultrasonic wave propagation in randomly layered heterogeneous media	2
Soliton dynamics to the Higgs equation and its multi-component generalization	2
A numerical scheme for the wave simulations of the Kuramoto–Sivashinsky model via quartic-trigonometric tension B-spline	2
An improved wave motion input method for application of multi-transmitting boundary	2
Complex flow structures beneath rotational depression solitary waves in gravity-capillary flows	2
Combined harmonic generation of feature guided waves mixing in a welded joint	2
A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles	2
Stability of one and two-dimensional spatial solitons in a cubic–quintic–septimal nonlinear Schrödinger equation with fourth-order diffraction and 2
A data-driven analysis of inhomogeneous wave field based on two-dimensional Hilbert–Huang transform	2
Waves in isotropic dispersive elastic solids	2
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal	2
Defect modes in non-Bragg resonant structures for guided surface water waves	2
Non-locality of the Willis coupling in fluid laminates	2
An analytical approach to rotor blade modulation	2
Solution of three-dimensional multiple scattering problems by the method of difference potentials	2
Extended plane wave expansion formulation for viscoelastic phononic thin plates	2
From 2Mth-order wronskian determinant solutions to Mth-order lump solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili I equation	2
Dynamics of particles and plankton under the action of internal solitary waves	2
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium	2
Reappraisal of Whitham’s 1967 theory for wave–meanflow interaction in shallow water	2
Dispersive shock waves in three dimensional Benjamin–Ono equation	2
Nonlocal elasticity of Klein–Gordon type: Fundamentals and wave propagation	2
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems	2
On the model formulations for the interaction of nonlinear waves and current	2
Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto–Sivashinsky equation	2
The natural frequencies of AISI 316 stainless steel and analytical simulation of a Lamb wave excited by a point source	2
Scattering of acoustic waves from a point source over an impedance wedge	2
Non-contact acoustic method to measure depth-dependent elastic properties of a kiwifruit	2
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background	2
Sound transmission of active elastic wave metamaterial with double locally resonant substructures surrounded by external mean flow	2
The deformation of an elastic cell in a circulatory fluid motion	2
Semi-analytical solution for the Lamb’s problem in second gradient elastodynamics	2