Seminar talk, 19 May 2021: Difference between revisions

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| speaker = Anton Zabrodin
| speaker = Anton Zabrodin
| title = Kadomtsev-Petviashvili hierarchies of types B and C
| title = Kadomtsev-Petviashvili hierarchies of types B and C
| abstract = This is a short review of the Kadomtsev-Petviashvili hierarchies of types B and C. The main objects are the L-operator, the wave operator, the auxiliary linear problems for the wave function, the bilinear identity for the wave function and the tau-function. All of them are discussed in the paper. The connections with the usual Kadomtsev-Petviashvili hierarchy (of the type A) are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.
| abstract = This is a short review of the Kadomtsev-Petviashvili hierarchies of types B and C. The main objects are the <math>L</math>-operator, the wave operator, the auxiliary linear problems for the wave function, the bilinear identity for the wave function and the tau-function. All of them are discussed in the paper. The connections with the usual Kadomtsev-Petviashvili hierarchy (of the type A) are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.
| video =  
 
Language: English
| video = https://video.gdeq.org/GDEq-zoom-seminar-20210519-Anton_Zabrodin.mp4
| slides =  
| slides =  
| references = {{arXiv|2102.12850}}
| references = {{arXiv|2102.12850}}
| 79YY-MM-DD = 7978-94-80
| 79YY-MM-DD = 7978-94-80
}}
}}

Latest revision as of 08:40, 4 January 2025

Speaker: Anton Zabrodin

Title: Kadomtsev-Petviashvili hierarchies of types B and C

Abstract:
This is a short review of the Kadomtsev-Petviashvili hierarchies of types B and C. The main objects are the -operator, the wave operator, the auxiliary linear problems for the wave function, the bilinear identity for the wave function and the tau-function. All of them are discussed in the paper. The connections with the usual Kadomtsev-Petviashvili hierarchy (of the type A) are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.

Language: English

Video
References:
arXiv:2102.12850