A new multi-symplectic scheme for the generalized Kadomtsev-Petviashvili equation
type: Item
instance of: scholarly article
title: A new multi-symplectic scheme for the generalized Kadomtsev-Petviashvili equation
zbMATH Open document ID: 1302.65268
published in: Computer Physics Communications
publication date: 2014-12-17T00:00:00Z
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 65G99
zbMATH DE Number: 6381355
zbMATH Keywords: the generalized Kadomtsev-Petviashvili (KP) equation
zbMATH Keywords: multi-symplectic method
zbMATH Keywords: backward error analysis
author: Haochen Li
author: Jianqiang Sun
MaRDI profile type: Publication
full work available at URL: j.cpc.2012.04.018
OpenAlex ID: W2018786053
cites work: Q5621188
cites work: On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2. Three-dimensional effects
cites work: Evolution of lump solutions for the KP equation
cites work: Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
cites work: A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
cites work: Multisymplectic geometry, variational integrators, and nonlinear PDEs
cites work: A new framework for studying the stability of genus-1 and genus-2 KP patterns
cites work: Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation
cites work: A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation
cites work: New schemes for the coupled nonlinear Schrödinger equation
cites work: Numerical methods for Hamiltonian PDEs
cites work: Splitting methods for the time-dependent Schrödinger equation
cites work: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
cites work: A multisymplectic variational integrator for the nonlinear Schrödinger equation
cites work: A multi-symplectic Euler-Box method for the saturated nonlinear Schrödinger equation
cites work: Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system
cites work: Backward error analysis for multi-symplectic integration methods
cites work: Splitting multisymplectic integrators for Maxwell's equations
cites work: Multisymplectic box schemes and the Korteweg-de Vries equation.
cites work: Multisymplectic numerical method for the regularized long-wave equation
cites work: Backward Error Analysis for Numerical Integrators
DOI: 10.1016/J.CPC.2012.04.018
description: scientific article; zbMATH DE number 6381355