Geodesic
Recursion operator for a~system with non-rational Lax representation
Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 112-118

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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.
Keywords: recursion operator, hydrodynamic type systems, non-rational Lax representation. 
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     author = {K. Zheltukhin},
     title = {Recursion operator for a~system with non-rational {Lax} representation},
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     url = {http://geodesic.mathdoc.fr/item/UFA_2016_8_2_a9/}
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K. Zheltukhin. Recursion operator for a~system with non-rational Lax representation. Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 112-118. http://geodesic.mathdoc.fr/item/UFA_2016_8_2_a9/