Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions
type: Item
instance of: scholarly article
title: Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions
zbMATH Open document ID: 1165.65084
DOI: 10.1080/00207160701713615
author: Ayhan Aydin
author: Bülent Karasözen
published in: International Journal of Computer Mathematics
publication date: 2009-05-29T00:00:00Z
full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a794846773
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 5559932
zbMATH Keywords: coupled nonlinear Schrödinger equations
zbMATH Keywords: solitons
zbMATH Keywords: dispersion
zbMATH Keywords: multi-symplectic methods
zbMATH Keywords: multi-symplectic Preissman scheme
zbMATH Keywords: numerical results
MaRDI profile type: Publication
OpenAlex ID: W2028213645
cites work: On discretizations of the vector nonlinear Schrödinger equation
cites work: Multisymplectic box schemes and the Korteweg-de Vries equation.
cites work: Multi-symplectic structures and wave propagation
cites work: Multisymplectic Relative Equilibria, Multiphase Wavetrains, and Coupled NLS Equations
cites work: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
cites work: Numerical methods for Hamiltonian PDEs
cites work: Conserved quantities of some Hamiltonian wave equations after full discretization
cites work: A multisymplectic variational integrator for the nonlinear Schrödinger equation
cites work: Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
cites work: Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law
cites work: On the preservation of phase space structure under multisymplectic discretization
cites work: Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
cites work: Geometric integrators for the nonlinear Schrödinger equation
cites work: Numerical simulation of coupled nonlinear Schrödinger equation
cites work: Simulating Hamiltonian Dynamics
cites work: Backward error analysis for multi-symplectic integration methods
cites work: Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system
cites work: Numerical study of the soliton waves of the coupled nonlinear Schrödinger system
cites work: Resonance- and phase-induced window sequences in vector-soliton collisions
cites work: Multisymplectic schemes for the nonlinear Klein-Gordon equation.
cites work: Q4151274
cites work: Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
description: scientific article