Seminar talk, 23 November 2022: Difference between revisions
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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 series of examples. | 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 series of examples. | ||
| video = https://video.gdeq.net/GDEq-zoom-seminar-20221123-Jean-Pierre_Magnot.mp4 | | video = https://video.gdeq.net/GDEq-zoom-seminar-20221123-Jean-Pierre_Magnot.mp4 | ||
| slides = | | slides = [[Media:beamer-krasilshchik-2022.pdf|beamer-krasilshchik-2022.pdf]] | ||
| references = {{arXiv|1007.3543}}</br> | | references = {{arXiv|1007.3543}}</br> | ||
https://dx.doi.org/10.1080/14029251.2017.1418057</br> | https://dx.doi.org/10.1080/14029251.2017.1418057</br> | ||
Revision as of 21:16, 25 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 series of examples.
Video
Slides: beamer-krasilshchik-2022.pdf
References:
arXiv:1007.3543
https://dx.doi.org/10.1080/14029251.2017.1418057
arXiv:1608.03994
arXiv:2101.04523, Mi tmf10046
arXiv:2203.07062