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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 1, Pages 15–38
DOI: https://doi.org/10.4213/tmf10072 (Mi tmf10072) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Kadomtsev–Petviashvili hierarchies of types B and C

A. V. Zabrodin

Skolkovo Institute of Science and Technology, Moscow, Russia
Full-text PDF (522 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf10072
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.
Funding agency Grant number
Russian Science Foundation 19-11-00275
This work was supported by the Russian Science Foundation under grant No 19-11-00275).
Received: 04.02.2021
Revised: 04.02.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 1, Pages 865–885
DOI: https://doi.org/10.1134/S0040577921070023
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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