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 2022-05-01 to 2026-05-01.)
ArticleCitations
Numerical scheme for the generalised Serre–Green–Naghdi model54
A new hierarchical control for the wave equation54
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds51
Embedded wave generation technique for two-layer non-hydrostatic models38
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes36
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions35
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 32
Inversion of circumferential elastic waves for characterization of concrete pipes28
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water27
Experimental study on insertion loss of air bubble layer in freestream flow21
Quantitative error assessment of radiative transfer approximations of acoustic wave energies in unbounded and bounded random media21
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response20
Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations20
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation19
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity18
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils17
Guided modes of helical waveguides17
High frequency homogenization for a one-dimensional acoustic black hole lattice17
Transmission properties of Kolakoski aperiodic phononic crystals16
Nonlinear dispersive waves in fluids and solids16
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams16
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate16
Nonlinear surface waves in a piezo-thermoelastic half-space with temperature-dependent dielectric moduli in dual-phase-lag16
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension16
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term15
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island14
Spiral waves and localized modes in dispersive wave equations14
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations14
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves14
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
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation13
Compactons in a class of the Magma-Gardner equations13
Nonlinear concentric water waves of moderate amplitude13
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids13
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations13
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
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection12
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method12
Waves generated by moving loads on ice plates: Viscoelastic approximations12
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains12
On peridynamic acoustics11
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
Exact solutions of the reverse space-time higher-order modified self-steepening nonlinear Schrödinger equation11
The effects of nonlinear jetting in super resolution focusing of sound among a Helmholtz resonator array11
Improved prediction of the front runner in roll waves produced by localized disturbance11
Luneburg cloak with pentamode metafluid11
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides11
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
Compressive and shear wave propagation in viscoelastic solid medium as a consequence of prescribed initial displacement fields10
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling10
Thermal solitons in nanotubes10
Physics-informed machine learning for the inverse design of wave scattering clusters9
Time dependent wave propagation in waveguides with rectangular scattering regions9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system9
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential9
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma9
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems9
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate9
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
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control9
Localized wave solutions and mixed interaction structures in the AB system8
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media8
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation8
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis8
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials8
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation8
Integration of the periodic Harry Dym equation with a source8
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach8
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space8
N-soliton solutions of four-wave mixing coupled Schrödinger equations8
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations8
On the evolution of complex signals and structures in media without dispersion8
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system8
From snaking to isolas: A one-active-site approximation in discrete optical cavities7
Longitudinal wave propagation in a practical metamaterial lattice7
Acoustic axes conditions revised7
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation7
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface7
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation7
Wave resonances and the time-dependent capillary gravity wave motion7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates7
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans7
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background7
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation7
Model study of ocean wave propagation through broken sea ice covers with variable ice concentration7
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking6
Local absorbing boundary conditions for the elastic wave equation6
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water6
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes6
Modelling of the propagation of ultrasonic waves in thick-walled cylinders during circumferential scanning6
Scattering of an Ostrovsky wave packet in a delaminated waveguide6
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background6
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
Highly localized horseshoe ripplons and solitons in positive dispersion media6
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions6
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: An elastic plate loaded by a fluid layer with uniform mean flow6
Evolution of nonlinear waves with heterogeneous damping and forcing6
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation6
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation6
Searching for traveling wave solutions in inhomogeneous moving media by factorizing the wave equation6
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework6
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media6
Phonon focusing and polaritons of GaN6
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform6
Stroh formalism for rotating functionally graded piezo-composite layered waveguide with non-ideal interface6
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves6
Longitudinal and transverse coherent waves in media containing randomly distributed spheres6
Combined harmonic generation of feature guided waves mixing in a welded joint5
Rogue wave solutions and modulational instability of a (3+1)-dimensional integrable nonlinear evolution equation5
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory5
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background5
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system5
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves5
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 (35
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation5
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
Thin-layer solutions to the Helmholtz equation in three dimensions5
Navigating the Hilbert space of elastic bell states in driven coupled waveguides5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies5
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions5
Discrimination between weak adhesion, delamination and kissing bond at the interfaces of composite bonded assemblies5
Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses5
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background5
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation5
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities5
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone5
Multi-parametric solutions to the functional difference KdV equation5
Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media5
Novel solitary patterns in a class of regularized Gardner equations5
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