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. | | video = https://video.gdeq.org/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> | ||
{{arXiv|1608.03994}}</br> | {{arXiv|1608.03994}}</br> | ||
{{arXiv|2101.04523}}, {{mathnet|tmf10046}}</br> | {{arXiv|2101.04523}}, {{mathnet|tmf10046}}</br> | ||
{{arXiv|2203.07062}} | {{arXiv|2203.07062}}</br> | ||
{{arXiv|2212.07583}} | |||
| 79YY-MM-DD = 7977-88-76 | | 79YY-MM-DD = 7977-88-76 | ||
}} | }} | ||
Latest revision as of 08:40, 4 January 2025
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
arXiv:2212.07583