Constructing conditionally integrable evolution systems in (1 + 1) dimensions: a generalization of invariant modules approach

Published 22 August 2002 • Published under licence by IOP Publishing Ltd
, , Citation A Sergyeyev 2002 J. Phys. A: Math. Gen. 35 7653 DOI 10.1088/0305-4470/35/35/309

Download Article PDF

Article metrics

56 Total downloads

Share this article

Article and author information

Author affiliations

1 Silesian University in Opava, Mathematical Institute, Bezručovo nám. 13, 746 01 Opava, Czech Republic

Dates

  1. Received 6 March 2002
  2. Published

Buy this article in print

0305-4470/35/35/7653

Abstract

Given a generalized (Lie–Bäcklund) vector field satisfying certain nondegeneracy assumptions, we explicitly describe all (1 + 1)-dimensional evolution systems that admit this vector field as a generalized conditional symmetry. The connection with the theory of symmetries of systems of ODEs and with the theory of invariant modules is discussed.

Export citation and abstract BibTeX RIS

Previous article in issue
10.1088/0305-4470/35/35/309