Recursion operator for a system with non-rational Lax representation

ZHELTUKHIN K.

Ufa Mathematical Journal, vol.8, no.2, pp.112-118, 2016 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.13108/2016-8-2-112
  • Journal Name: Ufa Mathematical Journal
  • Journal Indexes: Scopus
  • Page Numbers: pp.112-118
  • Keywords: Hydrodynamic type systems, Non-rational Lax representation, Recursion operator
  • Middle East Technical University Affiliated: Yes

Abstract

© K. Zheltukhin.We consider a hydrodynamic type system, waterbag model, that admits a dispersionless Lax representation with a logarithmic Lax function. Using the Lax representation, we construct a recursion operator of the system. We note that the constructed recursion operator is not compatible with the natural Hamiltonian representation of the system.