Special polynomials and the Hirota bilinear relations of the second and the fourth Painlevé equations

Nagoya Mathematical Journal

Volumn 159, Issue , 2000, Pages 179-200

  Fukutani, Satoshi ^a   Okamoto, Kazuo ^b   Umemura, Hiroshi ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012691296     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0027763000007479     Document Type: Article

References (7)

1. Okamoto, K., On the τ-function of the Painlevé equations, Physica, 2D (1981), 525-535.
2. IV, Math. Ann., 275 (1986), 221-255.
3. _, On Hirota bilinear relations for all Painlevé Equations, to appear.
4. Umemura, H., Painlevé equations and classical functions, suugaku (in Japanese), 47 (1996), 341-359.
5. _, Special polynomials associated with the Painlevé equations, I, Proceedings of workshop on the Painlevé equations(Winternitz(ed.)), Montreal, (1996).
6. Umemura, H. and Watanabe, H, Solutions of the second and fourth Painlevé equations, Nagoya Math. J., 151 (1998), 1-24.
7. Vorob'ev, A.P., On rational solutions of the second Painlevé Equation, Differ.Uravn., 1 (1965), 58-59.