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Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems


In this paper, we consider a new class of Hamiltonian hydrodynamic type systems whose conservation laws are polynomial with respect to one of the field variables.

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ZVM and MVP are grateful to A. A. Chesnokov, A. K. Khe, N. I. Makarenko, A. M. Kamchatnov, and M. Yu. Zhukov for very important comments, remarks, and helpful conversations.


ZVM was supported by the project № (code FWGG-2021-0011). MVP was supported by the project № 0023-2019-0011.

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Correspondence to Z. V. Makridin.

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Makridin, Z.V., Pavlov, M.V. Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems. Russ. J. Math. Phys. 28, 514–523 (2021).

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