The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes
type: Item
instance of: scholarly article
title: The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes
zbMATH Open document ID: 1328.39010
author: Han-Ze Liu
published in: Applied Mathematics and Computation
publication date: 2016-01-04T00:00:00Z
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6526098
zbMATH Keywords: nonlinear second-order system
zbMATH Keywords: discrete system
zbMATH Keywords: Lie group classification
zbMATH Keywords: point symmetry
zbMATH Keywords: partial difference scheme
zbMATH Keywords: lattice
MaRDI profile type: Publication
full work available at URL: j.amc.2014.11.017
OpenAlex ID: W2042227327
cites work: Complete symmetry classifications of the generalized nonlinear second-order equation and partial difference schemes
cites work: Applications of Lie Groups to Difference Equations
cites work: Q4679023
cites work: Lie symmetry analysis and exact explicit solutions for general Burgers' equation
cites work: Conservation law classification and integrability of generalized nonlinear second-order equation
cites work: The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations
cites work: Q4273954
cites work: Moving Frames for Lie Pseudo–Groups
cites work: Symmetry and integration methods for differential equations
cites work: The Similarity Method for Difference Equations
cites work: Symmetries of discrete dynamical systems
cites work: Q4513135
cites work: Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
cites work: FINITE DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL EQUATIONS
cites work: Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid
cites work: Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
DOI: 10.1016/J.AMC.2014.11.017
description: scientific article; zbMATH DE number 6526098