MR1815468
Fukutani, Satoshi
Satoshi FUKUTANI
Hirota bilinear relations and Toda equation of the second Painlevé equation
Funkcialaj Ekvacioj. Serio Internacia
43
2000
395--403
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-3-1.pdf
http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1815468
43-395
2000
Hirota Bilinear Relations and Toda Equation of the Second Painlevé Equation
Satoshi FUKUTANI
Satoshi FUKUTANI
1
Fukutani, S.; Okamoto, K., Umemura, H., Special polynomials and the Hirota bilinear relations of the second and the fourth Painlevé equations, to appear in Nagoya J. Math.
MR1783569
2
Okamoto, K.
Studies on the Painlevé equations, III. Second and Forth Painlevé Equations, $P_{II}$, $P_{IV}$
Math. Ann.
275
1986
221-255
MR0854008
3
Umemura, H.
Painlevé equations and classical functions
Suugaku
47
1996
341-359 (in Japanese)
MR1365704
4
Umemura, H.
Special polynomials associated with the Painlevé equations, I
Proceedings of workshop on the Painlevé equations (Winternitz (ed.)), Montreal
1996