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A connection between the Henon-Heiles system and the Garnier system

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Abstract

A remarkable map between the generalized Henon-Heiles system and the Garnier system is obtained by means of a detailed comparison between two finite-dimensional reduction methods for soliton equations: thestationary flows and therestricted flows. The role of the Gelfand-Dickey polynomials and of the KdV Poisson pencil in this construction is emphasized.

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Authors
  1. G. Tondo
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Additional information

Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Piaz.le Europa 1, I34127 Trieste, Italy. E-mail: tondo@univ.trieste.it. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 3, pp. 552–559, June, 1994.

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Tondo, G. A connection between the Henon-Heiles system and the Garnier system. Theor Math Phys 99, 796–802 (1994). https://doi.org/10.1007/BF01017070

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  • DOI: https://doi.org/10.1007/BF01017070

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