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S. V. Kovalevskaya system, its generalization and discretization

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Abstract

We consider an integrable three-dimensional system of ordinary differential equations introduced by S. V. Kovalevskaya in a letter to G. Mittag-Leffler. We prove its isomorphism with the three-dimensional Euler top, and propose two integrable discretizations for it. Then we present an integrable generalization of the Kovalevskaya system, and study the problem of integrable discretization for this generalized system.

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Authors and Affiliations

  1. Institut für Mathematik, MA 7-2, Technische Universität Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany

    Matteo Petrera & Yuri B. Suris

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  1. Matteo Petrera
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  2. Yuri B. Suris
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Correspondence to Yuri B. Suris.

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Petrera, M., Suris, Y.B. S. V. Kovalevskaya system, its generalization and discretization. Front. Math. China 8, 1047–1065 (2013). https://doi.org/10.1007/s11464-013-0305-y

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  • DOI: https://doi.org/10.1007/s11464-013-0305-y

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