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Article Dans Une Revue Open Communications in Nonlinear Mathematical Physics Année : 2024

On an equation of the Drinfeld-Sokolov hierarchy

Résumé

A seventh order ordinary differential equation (ODE) arising by reduction of the Drinfeld-Sokolov hierarchy is shown to be identical to a similarity reduction of an equation in the hierarchy of Sawada-Kotera. We also exhibit its link with a particular F-VI, a fourth order ODE isolated by Cosgrove which is likely to define a higher order Painlev\'e function.
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Dates et versions

hal-04549364 , version 1 (17-04-2024)
hal-04549364 , version 2 (09-05-2024)

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  • HAL Id : hal-04549364 , version 1

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R. Conte. On an equation of the Drinfeld-Sokolov hierarchy. Open Communications in Nonlinear Mathematical Physics, 2024. ⟨hal-04549364v1⟩
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