Wave Motion

Article	Citations
Soliton solutions to the B-type Kadomtsev–Petviashvili equation under general dispersion relations	113
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation	45
Low-frequency flexural wave attenuation in metamaterial sandwich beam with hourglass lattice truss core	36
Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model	31
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets	23
Plate arrays as a perfectly-transmitting negative-refraction metamaterial	22
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach	22
Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher–Kolmogorov model	22
Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties	19
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation	19
Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev–Petviashvili equation based on Bell-polynomial approach	19
On the role of resonance and thermoviscous losses in an implementation of “acoustic black hole” for sound absorption in air	18
Bending waves in a semi-infinite piezoelectric plate with edge coated by a metal strip plate	18
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background	17
Phase downshift or upshift of Bragg resonance for water wave reflection by an array of cycloidal bars or trenches	17
Dynamics of lump–soliton solutions to the PT	16
Model for analytical investigation on meta-lattice truss for low-frequency spatial wave manipulation	16
Nonlinear frequency mixing of Lamb wave for detecting randomly distributed microcracks in thin plates	16
Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov–Ivanov equation	16
Theoretical and numerical investigations of the nonlinear acoustic response of feature guided waves in a welded joint	15
A generalized complex mKdV equation: Darboux transformations and explicit solutions	15
Shape optimization of acoustic devices using the Scaled Boundary Finite Element Method	14
Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock	13
A WKB derivation for internal waves generated by a horizontally moving body in a thermocline	13
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	13

Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening	12
The electromomentum effect in piezoelectric Willis scatterers	12
Computational simulation of water removal from a flat plate, using surface acoustic waves	12
Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves	12
Extended shallow water wave equations	12
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform	12
Homogenization of piezoelectric planar Willis materials undergoing antiplane shear	12
Isogeometric collocation for acoustic problems with higher-order boundary conditions	11
Bound States in the Continuum in Elasticity	11
Direct numerical study of speed of sound in dispersed air–water two-phase flow	11
Bleustein–Gulyaev waves in a finite piezoelectric material loaded with a viscoelastic fluid	10
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation	10
Variational Boussinesq model for kinematics calculation of surface gravity waves over bathymetry	10
Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers	10
Hydroelastic response of a floating plate on the falling film: A stability analysis	10
Wave self-interactions in continuum phononic materials with periodic contact nonlinearity	10
Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid	9
Jordan–Cattaneo waves: Analogues of compressible flow	9
Rankine–Hugoniot conditions for fluids whose energy depends on space and time derivatives of density	9
A discontinuous variational principle implying a non-equilibrium dispersion relation for damped acoustic waves	9
Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations	9
Tunnelling around bends—Wave scattering in curved shell structures	9
On the dynamic behaviour of discrete metamaterials: From attenuation to energy localization	9
Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation	9
Longitudinal and transverse coherent waves in media containing randomly distributed spheres	9
Highly accurate numerical scheme based on polynomial scaling functions for equal width equation	8
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves	8
Structure optimization of quasi one-dimensional acoustic filters with the use of a genetic algorithm	8
Ultralow-frequency band gap in a quasi-zero-stiffness multi-resonator periodic hybrid structure	8
The cubic vortical Whitham equation	8
Active tsunami generation by tectonic seafloor deformations of arbitrary geometry considering rupture kinematics	8
Investigation of critical delamination characteristics in composite plates combining cubic spline piezo-layerwise mechanics and time domain spectral finite elements	8
Binary Darboux transformation for the Gerdjikov–Ivanov equation	8
Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme	8
A study on the Holian conjecture and Linear Irreversible Thermodynamics for shock-wave structure	8
Prediction of local resonance band gaps in 2D elastic metamaterials via Bloch mode identification	8
Nonlinear waves in pantographic beams induced by transverse impulses	8
Shear shock formation in incompressible viscoelastic solids	8
Dark soliton solutions for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in the inhomogeneous optical fiber	8
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma	7
Design and analysis of tunable acoustic channel drop filter based on fluid–fluid phononic crystal ring resonators	7
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network	7
Legendre orthogonal polynomial method in calculating reflection and transmission coefficients of fluid-loaded functionally gradient plates	7
On the scattering and radiation of water waves by a finite dock floating over a rectangular trench	7
Green’s function analysis of shear wave propagation in heterogeneous poroelastic sandwiched layer influenced by an impulsive source	7
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background	7
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams	7
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes	7
Symmetry-induced quasicrystalline waveguides	7
Full-wave numerical simulation of nonlinear dissipative acoustic standing waves in wind instruments	7

The integrability of a (2+1)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions	7
Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux–Bäcklund transformation	7
New insights into topographically feature guided waves (FGW) propagation in non-uniform elastic waveguides	7
Dynamic response of an infinite thin plate loaded with concentrated masses	7
Finite scale theory: Predicting nature’s shocks	6
Full reconstruction of acoustic wavefields by means of pointwise measurements	6
Machine and deep learning for coating thickness prediction using Lamb waves	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
Scattering of long flexural gravity wave due to structural heterogeneity in the framework of wave blocking	6
The mKdV equation and multi-parameters rational solutions	6
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
Dynamic analysis of wave propagation and buckling phenomena in carbon nanotubes(CNTs)	6
Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects	6
Towards the conception of complex engineering meta-structures: Relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screens	6
A frequency domain method for scattering problems with moving boundaries	6
A Mathematical Model for Investigating The Resonance Phenomenon in Lakes	6
Experimental demonstration of Willis coupling for elastic torsional waves	6
Breathers, rogue waves and breather–rogue waves on a periodic background for the modified nonlinear Schrödinger equation	6
Time-dependent wave propagation on a variable Winkler foundation with compression	6
Linearized scattering problem in acoustic transversely isotropic media with a vertical symmetry axis	6
Mode computation of immersed multilayer plates by solving an eigenvalue problem	6
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation	6
An exact DtN artificial boundary condition for motion analysis of water wave with undulated seabed	6
Flexural edge waves in a Kirchhoff plate carrying periodic edge resonators and resting on a Winkler foundation	6
The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem	5
Propagation of Rayleigh wave in initially-stressed compressible hyperelastic materials	5
Nonlocal elasticity of Klein–Gordon type: Fundamentals and wave propagation	5
Waves generated by moving loads on ice plates: Viscoelastic approximations	5
Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane	5
A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects	5
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects	5
An integrated study of wave attenuation by vegetation	5
Soliton solutions to the reverse-time nonlocal Davey–Stewartson III equation	5
Combined harmonic generation of feature guided waves mixing in a welded joint	5
Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior	5
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils	5
Bell polynomials and superposition wave solutions of Hirota–Satsuma coupled KdV equations	5
On acoustic scattering of beams	5
Stability of one and two-dimensional spatial solitons in a cubic–quintic–septimal nonlinear Schrödinger equation with fourth-order diffraction and 5
Multi-component AKNS systems	5
Modulated wave patterns brought by higher-order dispersion and cubic–quintic nonlinearity in monoatomic chains with anharmonic potential	5
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations	5
Interaction between long water waves and two fixed submerged breakwaters of wavy surfaces	5
Reflection and transmission of transient ultrasonic wave in fractal porous material: Application of fractional calculus	4
Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials	4
Breather arrest in a chain of damped oscillators with Hertzian contact	4
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system	4
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface	4
Numerical computation of solitary wave solutions of the Rosenau equation	4
Some personal reflections on acoustic metamaterials	4
Thermal solitons in nanotubes	4
Numerical study of the behavior of rectangular acoustic black holes for sound absorption in air	4
Scattering of an Ostrovsky wave packet in a delaminated waveguide	4
Extended plane wave expansion formulation for viscoelastic phononic thin plates	4
Double defects in trampoline effect and Helmholtz coupled acoustic metamaterial for broadband piezoelectric energy harvesting	4
Transmission and reflection of waves at structural junctions connecting thin orthotropic plates	4
Influence of contact interface morphology on the nonlinear interaction between a longitudinal wave and a contact interface with friction : A numerical study	4
Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto–Sivashinsky equation	4
Soliton dynamics to the Higgs equation and its multi-component generalization	4
Shock wave evolution into strain solitary wave in nonlinearly elastic solid bar	4
CADD: A seamless solution to the Domain Decomposition problem of subdomain boundaries and cross-points	4
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background	4
Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation	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
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation	4
Array of line sources that produces preselected plane waves	4
A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method	4
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal	4
Variational principles and finite element Bloch analysis in couple stress elastodynamics	4
The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation	4
On the Bäcklund transformation of a generalized Harry Dym type equation	4
H-breather solutions, inelastic interactions of the lumps and resona	4
On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics	4
Modulated periodic wavetrains in the spherical Gardner equation	4
Wave resonances in the presence of current and the frequency and time-domain interconnection	4
Waves in the cochlea and in acoustic rainbow sensors	3
A numerical scheme for the wave simulations of the Kuramoto–Sivashinsky model via quartic-trigonometric tension B-spline	3
The natural frequencies of AISI 316 stainless steel and analytical simulation of a Lamb wave excited by a point source	3
On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics	3
Defect modes in non-Bragg resonant structures for guided surface water waves	3

Complex flow structures beneath rotational depression solitary waves in gravity-capillary flows	3
Stress formulation of acoustoelasticity	3
A data-driven analysis of inhomogeneous wave field based on two-dimensional Hilbert–Huang transform	3
Propagation of Lamb waves in an elastic layer with irregular surfaces	3
3D simulations of ultrasonic waves in plates using the scaled boundary finite element method and high-order transition elements	3
Nonlinear waves in viscous multilayer shear flows in the presence of interfacial slip	3
Integration of the periodic Harry Dym equation with a source	3
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile	3
A 3D analysis of the acoustic radiation force in microfluidic channel with rectangular geometry	3
Wave energy dissipation by a floating horizontal porous plate in oblique incident waves	3
Dispersive nonlinear acoustic waves	3
Ultrasonic wave propagation in randomly layered heterogeneous media	3
Revisiting effective acoustic propagation in labyrinthine metasurfaces	3
High frequency homogenization for a one-dimensional acoustic black hole lattice	3
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method	3
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation	3
Representing rogue waves in minimal form	3
Rational solutions to the KPI equation from particular polynomials	3
Experimental study and numerical simulation of mean longshore current for mild slope	3
Revisiting Manne et al. (2000): A reformulation and alternative interpretation under the modified internal energy theory of second-sound	3
Wavefield focusing using a generalised, potentially asymmetric homogeneous Green’s function	3
Sound transmission of active elastic wave metamaterial with double locally resonant substructures surrounded by external mean flow	3
Internal solitary waves in the presence of linear and nonlinear shear-currents	3
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves	3
Dynamics of particles and plankton under the action of internal solitary waves	3
From 2Mth-order wronskian determinant solutions to Mth-order lump solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili I equation	3
Rational solutions to the mKdV equation associated to particular polynomials	3
Dynamic behavior of an inhomogeneous piezoelectric/piezomagnetic half space with a circular ring structure under SH wave	3
Waves in isotropic dispersive elastic solids	3
Wave propagation in an unconsolidated granular material: A micro-mechanical approach	3
Navigating the Hilbert space of elastic bell states in driven coupled waveguides	3
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems	3
Application of state vector formalism and Legendre polynomial hybrid method in the longitudinal guided wave propagation analysis of composite multi-layered pipes	3
Barycentric Lagrange interpolation collocation method for solving the Sine–Gordon equation	3
Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures	3
Non-locality of the Willis coupling in fluid laminates	3
A new fifth order finite difference WENO scheme to improve convergence rate at critical points	3
Thermal effects in short laser pulses: Suppression of wave collapse	3
A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions	3
Wide range of wave attenuation in beam-supported stepped hybrid phononic crystals	3
Modeling acoustic waves in locally enhanced meshes with a staggered-grid finite difference approach	3
Mathematical modeling of chirped modulated waves along a multi-coupled nonlinear electrical transmission line with dispersive elements	3
Full-wave anelastic and compressible Fourier methods for gravity waves in the thermosphere	2
Implementation of Deutsch and Deutsch–Jozsa-like algorithms involving classical entanglement of elastic bits	2
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations	2
The analytical structure of acoustic and elastic material properties	2
Wave solutions to an integrable negative order KdV equation	2
Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber	2
Whispering-Bloch elastic circuits	2
Rogue waves as modulational instability result in one-dimensional nonlinear triatomic acoustic metamaterials	2
Various types of discrete exact localized wave solutions and dynamical analysis for the discrete complex modified Korteweg-de Vries equation	2
On dynamics of multi-solitons for the good Boussinesq (gB) equation	2
N-(soliton, breather) interactions for general multi-component thir	2
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions	2
The deformation of an elastic cell in a circulatory fluid motion	2
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom	2
Semi-analytical solution for the Lamb’s problem in second gradient elastodynamics	2
Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography	2
Interfacial wave between acoustic media with Willis coupling	2
Vector multi-pole solutions in the r-coupled Hirota equation	2
A mild-slope formulation based on Weyl rule of association with application to coastal wave modelling	2
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation	2
An arbitrary Lagrangian–Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: An implicit method	2
Reappraisal of Whitham’s 1967 theory for wave–meanflow interaction in shallow water	2
A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles	2
Short crested wave–current interaction with a cylinder and two concentric asymmetric arc-shaped walls	2
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation	2
Extended KP equation and solutions with special properties	2
Non-contact acoustic method to measure depth-dependent elastic properties of a kiwifruit	2
An analytical approach to rotor blade modulation	2
Forced vibrations of a rolling tyre	2
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions	2
Scattering of water waves by multiple rows of vertical thin barriers	2
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium	2
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach	2
Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations	2
Coherent propagation and incoherent diffusion of elastic waves in a two dimensional continuum with a random distribution of edge dislocations	2
Numerical investigations of Lamb waves excited by interdigital transducers and incident on piezoelectric plates	2
The Malyuzhinets—Popov diffraction problem revisited	2
Families of exact solutions of a Generalized (2+1)-dimensional Boussinesq type equation	2
Sustainable pulling motion of an active scatterer	2
Motion dynamics of two-dimensional fundamental and vortex solitons in the fractional medium with the cubic-quintic nonlinearity	2
Nonlinear spatial evolution of degenerate quartets of water waves	2
Solution of three-dimensional multiple scattering problems by the method of difference potentials	2
Solitonic rogue and modulated wave patterns in the monoatomic chain with anharmonic potential	2
Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation	2