Open Access
October, 1999 On some Hamiltonian structures of Painlevé systems, II
Tohru MATANO, Atusi MATUMIYA, Kyoichi TAKANO
J. Math. Soc. Japan 51(4): 843-866 (October, 1999). DOI: 10.2969/jmsj/05140843

Abstract

We give a symplectic description of the fiber space for each J-th Painlevé system (J=V, IV, III, II) which was constructed by K. Okamoto. Hamiltonian function in every chart is a polynomial of the canonical coordinates.

Citation

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Tohru MATANO. Atusi MATUMIYA. Kyoichi TAKANO. "On some Hamiltonian structures of Painlevé systems, II." J. Math. Soc. Japan 51 (4) 843 - 866, October, 1999. https://doi.org/10.2969/jmsj/05140843

Information

Published: October, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0941.34076
MathSciNet: MR1705251
Digital Object Identifier: 10.2969/jmsj/05140843

Subjects:
Primary: 33E99
Secondary: 34A20

Keywords: Hamiltonian structure , Painlev\'{e} system

Rights: Copyright © 1999 Mathematical Society of Japan

Vol.51 • No. 4 • October, 1999
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