RECURSION OPERATOR FOR A SYSTEM WITH NON-RATIONAL LAX REPRESENTATION

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2016-06-01
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.

Citation Formats
K. Zheltukhın, “RECURSION OPERATOR FOR A SYSTEM WITH NON-RATIONAL LAX REPRESENTATION,” UFA MATHEMATICAL JOURNAL, vol. 8, no. 2, pp. 112–118, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39292.