Special function solutions for asymmetric discrete Painlevé equations

Journal of Physics A: Mathematical and General

Volumn 32, Issue 24, 1999, Pages 4553-4562

  Tamizhmani, T ^a,b   Tamizhmani, K M ^c   Grammaticos, B ^a   Ramani, A ^d  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b Kanchi Mamunivar Ctr Postgrad S   (India)

^c PONDICHERRY UNIVERSITY   (India)

^d ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033580728     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/24/317     Document Type: Article

References (18)

1. Gromak V A and Lukashevich N A 1990 The Analytic Solutions of the Painlevé Equations (Minsk: Universitetskoye) (in Russian)
2. Painlevé P 1902 Acta Math. 25 1
3. Ramani A, Grammaticos B and Hietarinta J 1991 Phys. Rev. Lett. 67 1829
4. Kajiwara K, Ohta Y, Satsuma J, Grammaticos B and Ramani A 1994 J. Phys. A: Math. Gen. 27 915
5. Tamizhmani K M, Ramani A, Grammaticos B and Kajiwara K 1998 J. Phys. A: Math. Gen. 31 5799
6. Quispel G R W, Roberts J A G and Thompson C J 1989 Physica 34 183
7. Kruskal M D, Tamizhmani K M, Grammaticos B and Ramani A 1998 Asymmetric discrete Painlevé equations Preprint
8. Grammaticos B, Ohta Y, Ramani A and Sakai H 1998 J. Phys. A: Math. Gen. 31 3545
9. Nijhoff F, Satsuma J, Kajiwara K, Grammaticos B and Ramani A 1996 Inverse Problems 12 697
10. Grammaticos B, Nijhoff F W, Papageorgiou V G, Ramani A and Satsuma J 1994 Phys. Lett. A 185 446
11. Ramani A, Grammaticos B and Ohta Y 1996 CRM Proceedings and Lecture Notes vol 9, ed D Levi, L Vinet and P Winternitz (Providence, RI: American Mathematical Society) p 303
12. Jimbo M and Sakai H 1996 Lett. Math. Phys. 38 145
13. Abramowitz A and Stegun I 1965 Handbook of Mathematical Functions (New York: Dover)
14. Nijhoff F, Ramani A, Grammaticos B and Ohta Y 1998 On discrete Painlevé equations associated with the lattice KdV systems and the Painlevé VI equation Preprint
15. Ramani A, Grammaticos B and Tokohiro T in preparation
16. Ramani A, Ohta Y, Satsuma J and Grammaticos B 1998 Commun. Math. Phys. 192 67
17. Grammaticos B and Ramani A 1998 J. Phys. A: Math. Gen. 31 5787
18. Sakai H 1998 Nonlinearity 11 823