On conservation laws and boundary conditions for ``short waves'' equation
type: Item
instance of: scholarly article
title: On conservation laws and boundary conditions for ``short waves'' equation
zbMATH Open document ID: 1043.35012
DOI: 10.1016/S0034-4877(03)80004-6
published in: Reports on Mathematical Physics
publication date: 2004-03-08T00:00:00Z
review text: The author studies local conservation laws for the equation of short waves \(2w_{xt}-2(x+w_x)w_{xx}+w_{yy}+2kw_x=0\), which can be written in the form of a variational problem. The author investigates an infinite symmetry group of the equation and generates a finite number of corresponding conservation laws together with appropriate boundary conditions at infinity.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 35G20
zbMATH DE Number: 2053307
zbMATH Keywords: local conservation laws
zbMATH Keywords: infinite symmetries
author: V. Rosenhaus
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
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full work available at URL: s0034-4877(03)80004-6
OpenAlex ID: W2064240232
description: scientific article; zbMATH DE number 2053307