Casorati determinant solutions for the q-difference sixth Painlevé equation

Nonlinearity

Volumn 11, Issue 4, 1998, Pages 823-833

  Sakai, Hidetaka ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039931248     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/4/004     Document Type: Article

References (10)

1. Grammaticos B, Ramani A and Papageorgiou VG 1991 Do integrable mappings have the Painlevé property? Phys. Rev. Lett. 67 1825-28
2. Jimbo M and Sakai H 1996 A q-analog of the sixth Painlevé equation Lett. Math. Phys. 38 145-54
3. III and q-PVI equations Phys. Lett. A 217 111-18
4. Kajiwara K, Ohta Y and Satsuma J 1995 Casorati determinant solutions for the discrete Painlevé III equation J. Math. Phys. 36 4162-74
5. VI Ann. Mat. Pura Appl. CXLVI 337-81
6. Papageorgiou V G, Nijhoff F W, Grammaticos B and Ramani A 1992 Isomonodromic deformation problems for discrete analogues of Painlevé equations Phys. Lett. A 164 57-64
7. Ramani A, Gramimaticos B and Hietarinta J 1991 Discrete versions of the Painlevé equations Phys. Rev. Lett. 67 1829-32
8. Ramani A and Grammaticos B 1996 The grand scheme for the discrete Painlevé equations Lect. at the Toda Symp. (Hayama, Kanagawa, Japan)
9. Umemura H 1987 On the irreducibility of the first differential equation of Painlevé Algebraic Geometry and Commutative Algebra in Honor of Masayosi (Nagata) pp 771-89
10. Watanabe H 1997 Birational canonical transformations and classical solutions of the sixth Painlevé equation Preprint