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The Variational Factors Problem for Systems of Equations Written in an Extended Kovalevskaya Form

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Abstract

In the paper, a solution to the variational factors problem for systems of equations written in an extended Kovalevskaya form is given. The solution is presented locally in a coordinate form.

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Acknowledgments

The author expresses his gratitude to Professors A. V. Aksenov and I. S. Krasil’shchik for constructive discussions.

Funding

The research was supported by the Russian Science Foundation (grant no. 18-11-00238).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory 1, Moscow, 119234, Russia

    K. P. Druzhkov

  2. Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia, Miusskaya pl. 4, Moscow, 125047, Russia

    K. P. Druzhkov

  3. Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, 141700, Russia

    K. P. Druzhkov

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  1. K. P. Druzhkov
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Correspondence to K. P. Druzhkov.

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Druzhkov, K.P. The Variational Factors Problem for Systems of Equations Written in an Extended Kovalevskaya Form. Russ. J. Math. Phys. 27, 192–198 (2020). https://doi.org/10.1134/S1061920820020053

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  • DOI: https://doi.org/10.1134/S1061920820020053

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