Group classification of nonlinear evolution equations. I: Invariance under semisimple local transformation groups
type: Item
instance of: scholarly article
title: Group classification of nonlinear evolution equations. I: Invariance under semisimple local transformation groups
zbMATH Open document ID: 1023.35042
DOI: 10.1023/A:1016014026651
author: V. I. Lagno
author: A. M. Samojlenko
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: The reviewed article is devoted to the problem of group classification of nonlinear equations of the form \[ u_t=F(t,x,u,u_x)u_{xx}+G(t,x,u,u_x) \tag{1} \] The authors give the bibliography containing the group classification of various partial cases of this equation. The main purpose of their investigation: classify nonlinear equations of the form (1) whose invariance groups are semisimple Lie group or contain them as subgroups.
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 37C80
Mathematics Subject Classification ID: 70G65
zbMATH DE Number: 1916049
zbMATH Keywords: semisimple Lie group
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: a:1016014026651
OpenAlex ID: W243844230
description: scientific article; zbMATH DE number 1916049