Seminar talk, 19 May 2021

From Geometry of Differential Equations
Jump to navigation Jump to search

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 [math]\displaystyle{ 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.

Language: English

Video
References:
arXiv:2102.12850