Communication Dans Un Congrès Année : 2025

Kadomtsev-Petviashvili hierarchies beyond standard settings

Résumé

Abstract We present a general framework for Kadomtsev–Petviashvili (KP) hierarchies beyond standard settings, relying on algebraic and geometric extensions of the classical theory including diffeological algebras, non-commutative structures, and generalized derivations. Our approach encompasses both formal and non-formal operator settings and leads to a general criterion for the integrability and well-posedness of KP-like equations.

Dates et versions

hal-05414669 , version 1 (13-12-2025)

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Jean-Pierre Magnot, Enrique Reyes. Kadomtsev-Petviashvili hierarchies beyond standard settings. ISQS29, Jul 2025, Prague (CZ), Czech Republic. pp.012015, ⟨10.1088/1742-6596/3152/1/012015⟩. ⟨hal-05414669⟩
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