Analogs of the Burgers equation of arbitrary order
type: Item
instance of: scholarly article
title: Analogs of the Burgers equation of arbitrary order
zbMATH Open document ID: 0605.35071
DOI: 10.1007/BF01017943
author: S. I. Svinolupov
published in: Theoretical and Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Nonlinear equations of the form \[ \partial u/\partial t=\partial^ nu/\partial x^ n+F(x,u,\partial^{n-1}u/\partial x^{n-1}),\quad n\geq 2, \] are constructed; they are associated with linear substitutions of the Cole-Hopf type and have an infinite set of local symmetries. For \(n\leq 5\), these equations together with equations of Korteweg-de Vries type exhaust the list of equations of the given type possessing an infinite set of local symmetries.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 3977554
zbMATH Keywords: Burgers equation
zbMATH Keywords: Cole-Hopf type
zbMATH Keywords: local symmetries
zbMATH Keywords: equations of Korteweg-de Vries type
MaRDI profile type: Publication
cites work: Statistics of integral convex polygons
description: scientific article; zbMATH DE number 3977554