Determinant structure of the rational solutions for the Painlevé IV equation

Journal of Physics A: Mathematical and General

Volumn 31, Issue 10, 1998, Pages 2431-2446

  Kajiwara, Kenji ^a   Ohta, Yasuhiro ^b  

^a DOSHISHA UNIVERSITY   (Japan)

^b HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032512995     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/10/017     Document Type: Article

References (21)

1. See, for example, Levi D and Winternitz P (ed) 1992 Painlevé Transcendents: Their Asymptotics and Physical Applications (NATO Advanced Study Institutes Series B278) (New York: Plenum) p 175
2. Umemura H 1997 Special polynomials assciated with the Painlevé equations I Preprint
3. Yablonskii A I 1959 Vesti Akad. Navuk. BSSR Ser. Fiz. Tekh. Nauk. 3 30 (in Russian)
4. Vorobe'v A P 1965 Differ. Uravn. 1 58
5. Kajiwara K and Ohta Y 1996 J. Math. Phys. 37 4693
6. Bassom A P, Clarkson P A and Hicks A C 1995 Stud. Appl. Math. 95 1
7. Murata Y 1985 Funkcial. Ekvac. 28 1
8. Fokas A S, Mugan U and Ablowitz M J 1988 Physica 30D 243
9. Gromak V I 1987 Differ. Eq. 23 506
10. Bassom A P and Clarkson C A 1994 Phys. Lett. A 194 358
11. NA Lukashevich 1967 Differ. Eq. 3 395
12. Okamoto K 1986 Math. Ann. 275 221
13. Clarkson P A 1989 J. Phys. A: Math. Gen. 22 2355
14. Quispel G R W, Nijhoff F W and Capel H W 1982 Phys. Lett. 91A 143
15. Kawamoto S 1984 J. Phys. Soc. Japan 53 2922
16. Nishitani T and Tajiri M 1982 Phys. Lett. 89A 379
17. Jimbo M and Miwa T 1983 Publ. RIMS, Kyoto Univ. 19 943
18. Umemura H and Watanabe H Solutions of the second and fourth Painlevé equations I Nagoya Math. J. to appear
19. Hirota R and Satsuma J 1976 Prog. Theor. Phys. Suppl. 59 64
20. Ohta Y and Nakamura A 1992 J. Phys. Soc. Japan 61 4295
21. Noumi M and Yamada Y Symmetries in the fourth Painlevé equation and Okamoto polynomials Preprint q-alg/9708018