|
This article is cited in 7 scientific papers (total in 7 papers)
Kadomtsev–Petviashvili hierarchies of types B and C
A. V. Zabrodin Skolkovo Institute of Science and Technology, Moscow,
Russia
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. Connections with the usual (type-A) Kadomtsev–Petviashvili hierarchy are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.
Keywords:
Kadomtsev–Petviashvili hierarchies, tau function, soliton solutions.
Received: 04.02.2021 Revised: 04.02.2021
Citation:
A. V. Zabrodin, “Kadomtsev–Petviashvili hierarchies of types B and C”, TMF, 208:1 (2021), 15–38; Theoret. and Math. Phys., 208:1 (2021), 865–885
Linking options:
https://www.mathnet.ru/eng/tmf10072https://doi.org/10.4213/tmf10072 https://www.mathnet.ru/eng/tmf/v208/i1/p15
|
Statistics & downloads: |
Abstract page: | 192 | Full-text PDF : | 68 | References: | 31 | First page: | 6 |
|