Work

Kadomtsev-Petviashvili hierarchies beyond standard settings

Year: 2025

Type: conference-paper

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.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/3152/1/012015

Authors: Jean-Pierre Magnot, Enrique G. Reyes

Institutions: Centre National de la Recherche Scientifique, Laboratoire Angevin de Recherche en Mathématiques, Lepage Research Institute, Université d'Angers, Universidad de Santiago de Chile

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4417047020

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Cites: 15

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