Defining variety and birational canonical transformations of the fifth painlevé equation

Analysis (Germany)

Volumn 18, Issue 4, 1998, Pages 351-358

  Watanabe, Humihiko ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141960836     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1998.18.4.351     Document Type: Article

References (9)

1. Okamoto, K.: Sur les feuilletages associeAs aux eAquations du second ordre aG points critiques fixes de P. Painlevp. Japan. J. Math., 5 (1979), 1–79.
2. Okamoto, K.: Isomonodromic deformation and PainleveA equations, and the Garnier system. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 33 (1986), 575–618.
3. Okamoto, K.: Studies on the PainleveA equations II, Fifth PainleveA equation Py- Japan. J. Math., 13 (1987), 47–76.
4. Okamoto, K.: Private communication (1992).
5. Watanabe, H.: Solutions of the fifth PainleveA equation I. Hokkaido Math. J., 24 (1995), 231–267.
6. Watanabe, H.: Birational canonical transformations and classical solutions of the sixth PainlveA equation. To appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.
7. Watanabe, H.: On the defining variety and birational canonical transformations of the fourth PainleveA equation. To appear in Funkcialaj Ekvacioj.
8. Matano, T., Matumiya, A., and Takano, K., On some Hamiltonian structures of PainleveA systems I. To appear in J. Math. Soc. Japan.
9. Bourbaki, N., Groupes et algeGbres de Lie, Chapitres 4,5, et 6, Masson, Paris, 1981.