Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painlevé Systems

Kenta Fuji,Takao Suzuki

Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painlevé Systems

2010

Kenta Fuji
Takao Suzuki

We study the Drinfeld-Sokolov hierarchies of type An(1) associated with the regular conjugacy classes of W(An). A class of fourth order Painleve systems is derived from them by similarity reductions.

Keywords:

Mathematics
Mathematical analysis
Integrable system
Affine Lie algebra
Conjugacy class
Pure mathematics
Hierarchy
Representation theory
fourth order

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