2017
Том 69
№ 6

All Issues

Jacobi polynomials and Lax representation for completely integrable dynamical systems

Enolskii V. Z., Kondratev A. Yu.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1198-1201.

Citation Example: Enolskii V. Z., Kondratev A. Yu. Jacobi polynomials and Lax representation for completely integrable dynamical systems // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1088–1091.

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