On construction of recursion operators from Lax representation

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Gurses M., Karasu A., Sokolov V.

JOURNAL OF MATHEMATICAL PHYSICS, vol.40, no.12, pp.6473-6490, 1999 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 12
  • Publication Date: 1999
  • Doi Number: 10.1063/1.533102
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6473-6490
  • Middle East Technical University Affiliated: Yes

Abstract

In this work we develop a general procedure for constructing the recursion operators for nonlinear integrable equations admitting Lax representation. Several new examples are given. In particular, we find the recursion operators for some KdV-type systems of integrable equations. (C) 1999 American Institute of Physics. [S0022-2488(99)03212-0].