A generalization of determinant formulae for the solutions of painlevé II and XXXIV equations

Journal of Physics A: Mathematical and General

Volumn 32, Issue 20, 1999, Pages 3763-3778

  Kajiwara, Kenji ^a   Masuda, Tetsu ^b  

^a DOSHISHA UNIVERSITY   (Japan)

^b RITSUMEIKAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033591081     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/20/309     Document Type: Article

References (17)

1. See, for example, Levi D and Winternitz P 1992 Painlevé Transcendents: Their Asymptotics and Physical Applications (NATO ASI Series B vol 278) (New York: Plenum)
2. Umemura H and Watanabe H 1997 Nagoya Math. J. 148 151
3. Umemura H 1996 Irreducibility of the Painlevé equations - evolution in the past 100 years Proc. Workshop on the Painlevé Transcendents (Montreal), Preprint
4. Ince E L 1956 Ordinary Differential Equations (New York: Dover)
5. Matveev V B and Salle M A 1991 Darboux Transformations and Solitons (Berlin: Springer)
6. Satsuma J 1976 J. Phys. Soc. Japan 46 359
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10. Okamoto K 1986 Math. Ann. 275 221
11. Okamoto K 1987 Funkcialaj Ekvacioj 30 305
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15. Nakamura A 1992 J. Phys. Soc. Japan 61 3007
16. Hirota R and Satsuma J 1976 Prog. Theor. Phys. Suppl. 59 64
17. Hirota R 1992 Mathematical Theory of Solitons (Tokyo: Iwanami) (in Japanese)