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 = | | video = | ||
| slides = | | slides = | ||
Revision as of 13:26, 3 March 2021
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.
References:
arXiv:2102.12850
