From discrete to continuous Painlevé equations: A bilinear approach

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 216, Issue 6, 1996, Pages 255-261

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

^a HIROSHIMA UNIVERSITY   (Japan)

^b ECOLE POLYTECHNIQUE   (France)

^c UNIVERSITÉ PARIS DESCARTES   (France)

^d PONDICHERRY UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BILINEAR APPROACH; BILINEAR FORM; PAINLEVE;

EID: 0000069421     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00292-7     Document Type: Article

References (6)

1. A. Ramani, B. Grammaticos and J. Satsuma, J. Phys. A 28 (1995) 4655.
2. VI equations, preprint (1996).
3. K. Okamoto, Proc. Japan. Acad. A 56 (1980) 264.
4. J. Hietarinta and M.D. Kruskal, Hirota forms for the six Painlevé equations from singularity analysis, NATO ASI B 278 (Plenum, New York, 1992) p. 175.
5. A. Ramani and B. Grammaticos, Discrete Painlevé equations: coalescences, limits and degeneracies, preprint (1995), to appear in Physica A.
6. M. Jimbo and H. Sakai, A q-analog of the sixth Painlevé equation, preprint Kyoto-Math 95-16, to appear in Lett. Math. Phys.