Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

Details Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

2009-04-22

arxiv.org/abs/0904.3434v1

Physics

Mathematical Physics

25 pages

Scientific paper

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 Painleve
systems is derived from them by similarity reductions.

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