On the integrability of homogeneous scalar evolution equations
type: Item
instance of: scholarly article
title: On the integrability of homogeneous scalar evolution equations
zbMATH Open document ID: 0951.37026
author: Jan A. Sanders
author: Jing Ping Wang
published in: Journal of Differential Equations
publication date: 2000-05-11T00:00:00Z
review text: The authors find the existence of infinitely many symmetries for the homogeneous scalar evolution equations of a certain form. Algorithms are presented to determine if the system has symmetry. In case the system has one generalized symmetry, it has infinitely many symmetries and all of them may be found with the help of recursion operators or master symmetries. The authors present a list of 10 integrable hierarchies.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 37L20
zbMATH DE Number: 1212351
zbMATH Keywords: integrable hierarchies
zbMATH Keywords: homogeneous scalar equations
zbMATH Keywords: Lie algebra symmetries
describes a project that uses: FORM
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3452
OpenAlex ID: W2067614697
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DOI: 10.1006/JDEQ.1998.3452
description: scientific article; zbMATH DE number 1212351