Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the exchange of energy in coupled Klein --- Gordon equations - MaRDI portal

On the exchange of energy in coupled Klein --- Gordon equations

From MaRDI portal
Publication:2387625

DOI10.1016/S0165-2125(03)00022-2zbMath1163.74380OpenAlexW2025727787MaRDI QIDQ2387625

Dmitry E. Pelinovsky, Karima R. Khusnutdinova

Publication date: 5 September 2005

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(03)00022-2



Related Items

A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods, Double Sumudu transform iterative method for one-dimensional nonlinear coupled sine-Gordon equation, The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations, High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration, New approach to beating phenomenon in coupled nonlinear oscillatory chains, A study of nonlinear systems arising in the physics of liquid crystals, using MLPG and DMLPG methods, A numerical scheme based on the Chebyshev functions to find approximate solutions of the coupled nonlinear sine-Gordon equations with fractional variable orders, The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations, A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics, An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons, An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound, High-order compact difference methods for solving two-dimensional nonlinear wave equations, Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations, A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system, Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions, Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system, On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model, Irreversible energy transfer, localization and non-reciprocity in weakly coupled, nonlinear lattices with asymmetry, Interaction of two quasi-monochromatic waves in shallow water, Periodic solutions to Klein-Gordon systems with linear couplings, New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations, Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach, Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method, Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system, Exact solutions of coupled sine-Gordon equations, A numerical solution of the coupled sine-Gordon equation using the modified decomposition method, Dynamics of solitons to the coupled sine-Gordon equation in nonlinear optics, The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions, Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations, The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations, IMEX Hermite--Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions, Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains, Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework, A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations, The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations



Cites Work