Wave Motion

Papers
(The TQCC of Wave Motion is 5. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
A new hierarchical control for the wave equation52
Numerical scheme for the generalised Serre–Green–Naghdi model41
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 37
Experimental study on insertion loss of air bubble layer in freestream flow37
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response34
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds34
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water33
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes32
A modified approach to wavemaker modeling for high-order spectral numerical wave tanks30
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions29
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation27
Inversion of circumferential elastic waves for characterization of concrete pipes27
Guided modes of helical waveguides26
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate24
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity23
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension22
High frequency homogenization for a one-dimensional acoustic black hole lattice20
Nonlinear dispersive waves in fluids and solids20
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term17
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils17
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams17
Transmission properties of Kolakoski aperiodic phononic crystals17
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation16
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids16
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations16
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves15
On the generation of optical third-harmonic through quasi-phase-matching in quadratic nonlinear crystals14
Velocity and energy of periodic travelling interfacial waves between two bounded fluids14
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection14
Waves generated by moving loads on ice plates: Viscoelastic approximations14
Nonlinear concentric water waves of moderate amplitude13
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network13
Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads13
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides13
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island13
Spiral waves and localized modes in dispersive wave equations13
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations13
Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation12
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling12
On peridynamic acoustics12
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains11
Some personal reflections on acoustic metamaterials11
Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method11
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method11
N-(soliton, breather) interactions for general multi-component thir11
High-order Absorbing Boundary Condition, Domain Decomposition Method and Stratified Dispersive Wave Model11
Improved prediction of the front runner in roll waves produced by localized disturbance11
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential11
Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov–Ivanov equation10
Green’s function analysis of shear wave propagation in heterogeneous poroelastic sandwiched layer influenced by an impulsive source10
The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation10
Physics-informed machine learning for the inverse design of wave scattering clusters10
Thermal solitons in nanotubes10
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems10
Riemann–Hilbert approach and N-soliton solutions for a negative matri10
An integrated study of wave attenuation by vegetation10
Time dependent wave propagation in waveguides with rectangular scattering regions10
Numerical treatment of the Sine-Gordon equations via a new DQM based on cubic unified and extended trigonometric B-spline functions10
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media10
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation9
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma9
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation9
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations9
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control9
Integration of the periodic Harry Dym equation with a source9
On the evolution of complex signals and structures in media without dispersion9
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system9
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate9
Transformation design of in-plane elastic cylindrical cloaks, concentrators and lenses9
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials8
Localized wave solutions and mixed interaction structures in the AB system8
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation8
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background8
N-soliton solutions of four-wave mixing coupled Schrödinger equations8
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation8
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis8
One-dimensional acoustic waves in air/water mixtures8
Ultralow-frequency band gap in a quasi-zero-stiffness multi-resonator periodic hybrid structure8
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields7
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder7
Acoustic axes conditions revised7
Local absorbing boundary conditions for the elastic wave equation7
Time-dependent wave propagation on a variable Winkler foundation with compression7
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation7
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates7
Highly localized horseshoe ripplons and solitons in positive dispersion media7
Wave resonances and the time-dependent capillary gravity wave motion7
The electromomentum effect in piezoelectric Willis scatterers7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking7
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media7
From snaking to isolas: A one-active-site approximation in discrete optical cavities7
Longitudinal wave propagation in a practical metamaterial lattice7
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves7
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework7
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions7
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans7
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system7
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space7
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water6
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background6
Evolution of nonlinear waves with heterogeneous damping and forcing6
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform6
Acoustic radiation torque of a cylindrical quasi-Gauss beam on a viscoelastic cylindrical shell near an impedance boundary6
Scattering of an Ostrovsky wave packet in a delaminated waveguide6
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
Longitudinal and transverse coherent waves in media containing randomly distributed spheres6
Thin-layer solutions to the Helmholtz equation in three dimensions6
A simple model of radiating solitary waves6
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening6
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation6
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: An elastic plate loaded by a fluid layer with uniform mean flow6
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation6
Navigating the Hilbert space of elastic bell states in driven coupled waveguides6
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities6
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone6
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves5
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background5
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation5
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background5
Waves in the cochlea and in acoustic rainbow sensors5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies5
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory5
Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock5
Higher-order breather and interaction solutions to the (35
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions5
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
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom5
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system5
Multi-parametric solutions to the functional difference KdV equation5
Novel solitary patterns in a class of regularized Gardner equations5
0.13978505134583