An affine Weyl group approach to the eight-parameter discrete painlevé equation

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10523-10532

  Ohta, Y ^a   Ramani, A ^b   Grammaticos, B ^c  

^a HIROSHIMA UNIVERSITY   (Japan)

^b ECOLE POLYTECHNIQUE   (France)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824417     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/316     Document Type: Article

References (16)

1. Ramani A, Grammaticos B and Hietarinta J 1991 Phys. Rev. Lett. 67 1829
2. Ramani A and Grammaticos B 1996 Physica A 228 160
3. Okamoto K 1981 Physica D 2 525
4. Ramani A, Ohta Y, Satsuma J and Grammaticos B 1998 Commun. Math. Phys. 192 67
5. Ramani A and Grammaticos B 1996 The Grand Scheme for discrete Painlevé equations Lecture at the Toda Symp.
6. Grammaticos B and Ramani A 2000 Reg. Chaot. Dyn. 5 53
7. Sakai H 1999 Rational surfaces associated with affine root systems and geometry of the Painlevé equations PhD Thesis Kyoto University
8. Hirota R 1981 J. Phys. Soc. Japan 50 3785 Miwa T 1982 Proc. Japan. Acad. 58 9
9. Hirota R 1981 J. Phys. Soc. Japan 50 3785 Miwa T 1982 Proc. Japan. Acad. 58 9
10. Grammaticos B, Ramani A and Papageorgiou V 1991 Phys. Rev. Lett. 67 1825
11. Ohta Y, Tamizhmani K M, Grammaticos B and Ramani A 1999 Phys. Lett. A 262 152
12. Grammaticos B and Ramani A 1999 Phys. Lett. A 257 288
13. Ramani A, Grammaticos B and Tamizhmani T 2000 J. Phys. A: Math. Gen. 33 3033
14. Ramani A, Grammaticos B and Ohta Y 2001 Commun. Math. Phys. 217 315
15. IV equations and their Schlesinger transformations, at press
16. Jimbo M and Sakai H 1996 Lett. Math. Phys. 38 145