Rational solutions of Painlevè equations

Canadian Journal of Mathematics

Volumn 54, Issue 3, 2002, Pages 648-670

  Wenjun, Yuan ^a   Yezhou, Li ^a  

^a GUANGZHOU UNIVERSITY   (China)

Author keywords

B cklund transformation; Painlev differential equation; Rational function

Indexed keywords

EID: 0035997742     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/cjm-2002-024-0     Document Type: Article

References (8)

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3. A.S. Fokas and M.J. Ablotz, On a unified approach to transformations and elementary solutions of Painlevé equations. J. Math. Phys. 23(1982), 2033-2042.
4. A.S. Fokas and Y.C. Yortsos, The transformation properties of the sixth Painlevé equation and one-parameter families of solutions. Lett. Nuovo Cimento 30(1981), 539-544.
5. V.I. Gromak and N.A. Lukashevich, Analytic properties of solutions of the Painlevé equations. Universitetskoe, Minsk, 1990, 1-157 (in Russian).
6. K. Iwasaki, H. Kimura, S. Shimomura and M. Yoshida, From Gauss to Painlevé. Vieweg, Braunschweig, 1991.
7. A.V. Kitaev, C.K. Law and J.B. McLeod, Rational solutions of the fifth Painlevé equation. Preprint.
8. K. Okamoto, Studies of the Painlevé equations. Math. Ann. 275(1986), 221-255.