Ufa Mathematical Journal, vol.8, no.2, pp.112-118, 2016 (Scopus)
Article / Article
Ufa Mathematical Journal
Hydrodynamic type systems, Non-rational Lax representation, Recursion operator
Middle East Technical University Affiliated:
© 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.