Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems
Kenta Fuji, Takao Suzuki
TL;DR
This paper explores Drinfeld-Sokolov hierarchies of type A and derives new fourth order Painleve systems through similarity reductions, advancing understanding of integrable systems and their classifications.
Contribution
It introduces a novel connection between Drinfeld-Sokolov hierarchies and fourth order Painleve systems via similarity reductions.
Findings
Derived new fourth order Painleve systems from type A Drinfeld-Sokolov hierarchies.
Established a link between regular conjugacy classes of W(A_n) and Painleve equations.
Enhanced the classification of integrable systems related to affine Lie algebras.
Abstract
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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Taxonomy
TopicsMolecular spectroscopy and chirality · Algebraic structures and combinatorial models · Advanced Topics in Algebra