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Nonlinear Sciences > Exactly Solvable and Integrable Systems
Title: Frolicher structures, diffieties, and a formal KP hierarchy
(Submitted on 15 Dec 2022)
Abstract: We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existence of a suitable derivation, we can form on it a Kadomtsev-Petviashvili hierarchy which is well-posed.
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