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Communication Dans Un Congrès Année : 2022

Diffeologies and generalized Kadomtsev-Petviashvili hierarchies

Résumé

We present a simplified, but extended proof of the well-posedness of the Kadomtsev-Petviashvili hierarchy with coefficients in an abstract diffeological differential algebra, and with initial values of any order. 2020 Mathematics Subject Classification. Key words and phrases. differential algebra, formal pseudo-differential operators, integrable systems, jet bundles.
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hal-04176433 , version 1 (03-08-2023)

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  • HAL Id : hal-04176433 , version 1

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Anahita Eslami Rad, Jean-Pierre Magnot, Enrique G Reyes, Vladimir Rubtsov. Diffeologies and generalized Kadomtsev-Petviashvili hierarchies. AMS-EMS-SMF meeting - special session "recent advances on diffeologies and their applications", Jul 2022, Grenoble, France. ⟨hal-04176433⟩
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