MR2668518
Kenta FUJI and Takao SUZUKI
Kenta FUJI and Takao SUZUKI
Drinfeld-Sokolov Hierarchies of Type $A$ and Fourth Order Painlevé Systems
Funkcialaj Ekvacioj. Serio Internacia
53
2010
143--167
http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-1/53_143.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2668518
We study the Drinfeld-Sokolov hierarchies of type $A_n^{(1)}$ associated with the regular conjugacy classes of $W(A_n)$. A class of fourth order Painlevé systems is derived from them by similarity reductions.
Affine Lie algebra, Integrable systems, Painlevé equations.
34M55, 17B80, 37K10.
53-143
2010
Drinfeld-Sokolov Hierarchies of Type $A$ and Fourth Order Painlevé Systems
Kenta FUJI and Takao SUZUKI
Kenta FUJI and Takao SUZUKI
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