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Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems

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Abstract

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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Acknowledgments

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.

Funding

ZVM was supported by the project № 2.3.1.2.12 (code FWGG-2021-0011). MVP was supported by the project № 0023-2019-0011.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, 630090, Novosibirsk, Russia

    Z. V. Makridin

  2. Lebedev Physical Institute of Russian Academy of Sciences, 119991, Moscow, Russia

    M. V. Pavlov

Authors
  1. Z. V. Makridin
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  2. M. V. Pavlov
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Corresponding author

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). https://doi.org/10.1134/S1061920821040099

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  • DOI: https://doi.org/10.1134/S1061920821040099

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