Recursion operator for a system with non-rational Lax representation
Ufa Mathematical Journal, vol.8, no.2, pp.112-118, 2016 (Scopus)
- 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.