Functionally separable solutions to nonlinear wave equations by group foliation method
type: Item
instance of: scholarly article
title: Functionally separable solutions to nonlinear wave equations by group foliation method
zbMATH Open document ID: 1160.35017
author: Jiayi Hu
author: Changzheng Qu
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-04-10T00:00:00Z
review text: In this very technical article the authors discuss functionally separable solutions of nonlinear wave equations of the form \[ u_{tt}=(A(x)D(u)u_x)_x+B(x)Q(u). \] After a very brief introduction into the underlying computational technique, the main part of the article consists of the lengthy derivation of a classification (summarised in five tables) of all equations of the given type admitting functionally separable solutions.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 5141583
zbMATH Keywords: partial differential equation
zbMATH Keywords: wave equation
zbMATH Keywords: Lie symmetry
zbMATH Keywords: group foliation
zbMATH Keywords: functional separation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.07.075
OpenAlex ID: W1999420524
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DOI: 10.1016/J.JMAA.2006.07.075
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description: scientific article; zbMATH DE number 5141583