Article

    Ufa Mathematical Journal
    Volume 8, Number 2, pp. 112-118

    Recursion operator for a system with non-rational Lax representation


    Zheltukhin K.

    DOI:10.13108/2016-8-2-112

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    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.