Seminar talk, 23 November 2022
Speaker: Jean-Pierre Magnot
Title: New perspectives for generalized Kadomtsev-Petviashvili hierarchies
Abstract:
In the setting of diffeological differential algebras, we first expose step by step how the classical algebraic construction of the solution of the (classical) Kadomtsev-Petviashvili hierarchy can be extended in order to get well-posedness for Kadomtsev-Petviashvili hierarchies in this generalized setting. Of course, we give a short exposition of the necessary notions in diffeologies for non-specialists of this topic.
Then, we discuss the Hamiltonian formulation in a refreshed way. Finally, we deduce the corresponding Kadomtsev-Petviashvili equations, first in an abstract formulation, and in a serie of examples.
References:
* arXiv:1007.3543