Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T07:27:25.450Z Has data issue: false hasContentIssue false
  • English
  • Français

CLASSIFICATION OF INTEGRABLE ONE-COMPONENT SYSTEMS ON ASSOCIATIVE ALGEBRAS

Published online by Cambridge University Press:  03 November 2000

PETER J. OLVER  and
JING PING WANG
PETER J. OLVER
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA.
JING PING WANG
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA.
Get access

Abstract

This paper is devoted to the complete classification of integrable one-component evolution equations whose field variable takes its values in an associative algebra. The proof that the list of non-commutative integrable homogeneous evolution equations is complete relies on the symbolic method. Each equation in the list has infinitely many local symmetries and these can be generated by its recursion (recursive) operator or master symmetry. 1991 Mathematics Subject Classification: 13A50, 16-XX, 22E70, 35A30, 35Q53, 58F07.

Keywords

associative algebranon-commutativeintegrablesolitonevolution equationsymmetry grouprecursion operatorsymbolic methoddifferential polynomialoperator symmetry
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 81 , Issue 3 , November 2000 , pp. 566 - 586
Copyright
2000 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)