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Jacobi polynomials and Lax representation for completely integrable dynamical systems

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Abstract

We consider a method aimed at the investigation of completely integrable dynamical systems by using the Lax representation of their equations of motion. The Lax representations are found for the integrable case of the Henon-Heiles system and for an anisotropic oscillator.

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Authors and Affiliations

  1. Kiev University, Kiev

    A. Yu. Kondrat'ev

  2. Institute of Metal Physics, Ukrainian Academy of Sciences, Kiev

    V. Z. Énol'skii

Authors
  1. A. Yu. Kondrat'ev
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  2. V. Z. Énol'skii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 1088–1091, August, 1994.

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Kondrat'ev, A.Y., Énol'skii, V.Z. Jacobi polynomials and Lax representation for completely integrable dynamical systems. Ukr Math J 46, 1198–1201 (1994). https://doi.org/10.1007/BF01056181

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  • DOI: https://doi.org/10.1007/BF01056181

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