RECURSION OPERATOR FOR A SYSTEM WITH NON-RATIONAL LAX REPRESENTATION

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2016-06-01

Author

Zheltukhın, Kostyantyn

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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.

Subject Keywords

Recursion operator, Hydrodynamic type systems, Non-rational Lax representation

URI

https://hdl.handle.net/11511/39292

Journal

UFA MATHEMATICAL JOURNAL

DOI

https://doi.org/10.13108/2016-8-2-112

Collections

Department of Mathematics, Article

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Citation Formats

K. Zheltukhın, “RECURSION OPERATOR FOR A SYSTEM WITH NON-RATIONAL LAX REPRESENTATION,” UFA MATHEMATICAL JOURNAL, pp. 112–118, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39292.