Seminar talk, 19 May 2021
Speaker: Anton Zabrodin
Title: Kadomtsev-Petviashvili hierarchies of types B and C
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.