The sixth Painleve equation arising from Drinfel'd-Sokolov hierarchy
Kenta Fuji, Takao Suzuki
TL;DR
This paper discusses the connection between the sixth Painleve equation and the Drinfel'd-Sokolov hierarchy, exploring their mathematical relationship.
Contribution
The paper introduces a novel link between the sixth Painleve equation and integrable hierarchies derived from Drinfel'd-Sokolov construction.
Findings
Established a new mathematical relationship between Painleve VI and Drinfel'd-Sokolov hierarchy
Provided insights into the integrable structure of Painleve equations
Contributed to the theory of integrable systems
Abstract
This paper has been withdrawn by the authors due to double submitting.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Fractional Differential Equations Solutions