On some Hamiltonian structures of Painlevé systems, II

Tohru Matano; Atusi Matumiya; Kyoichi Takano

Journal ArticleOPEN ACCESS

On some Hamiltonian structures of Painlevé systems, II

Matano T
Matumiya A
Takano K

Journal of the Mathematical Society of Japan (1999) 51(4) 843-866

DOI: 10.2969/jmsj/05140843

32Citations

5Readers

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. © 1999, The Mathematical Society of Japan. All rights reserved.

Cite

CITATION STYLE

APA

Matano, T., Matumiya, A., & Takano, K. (1999). On some Hamiltonian structures of Painlevé systems, II. Journal of the Mathematical Society of Japan, 51(4), 843–866. https://doi.org/10.2969/jmsj/05140843

Readers' Seniority

PhD / Post grad / Masters / Doc 2

50%

Professor / Associate Prof. 1

25%

Researcher 1

25%

Readers' Discipline

Mathematics 4

80%

Physics and Astronomy 1

20%

On some Hamiltonian structures of Painlevé systems, II

Abstract

Author supplied keywords

References Powered by Scopus

Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est a points critiques fixes

Studies on the Painlevé equations - I.-Sixth Painlevé equation P<inf>VI</inf>

Studies on the Painlevé equations - III. Second and fourth painlevé equations, P<inf>II</inf> and P<inf>IV</inf>

Cited by Powered by Scopus

Geometric aspects of Painlevé equations

Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI, part I

Deformation of Okamoto–Painlevé pairs and Painlevé equations

Register to see more suggestions

Cite

Readers' Seniority

Readers' Discipline