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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 1, Pages 37–47
DOI: https://doi.org/10.4213/tmf10243 (Mi tmf10243) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system

L. V. Bogdanova, Lingling Xueb

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region, Russian, Russia
b Department of Mathematics, Faculty of Science, Ningbo University, Ningbo, China
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DOI: https://doi.org/10.4213/tmf10243
Abstract: We introduce a class of reductions of the two-component KP hierarchy that includes the Hirota–Ohta system hierarchy. The description of the reduced hierarchies is based on the Hirota bilinear identity and an extra bilinear relation characterizing the reduction. We derive the reduction conditions in terms of the Lax operator and higher linear operators of the hierarchy, as well as in terms of the basic two-component KP system of equations.
Keywords: two-component Kadomtsev–Petviashvili hierarchy, reduction, Hirota–Ohta system.
Funding agency Grant number
Russian Foundation for Basic Research 21-51-53017
The reported study was funded by the RFBR and NSFC (project No. 21-51-53017).
Received: 09.01.2022
Revised: 09.01.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 1, Pages 473–482
DOI: https://doi.org/10.1134/S0040577922040031
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
MSC: 37K10
Language: Russian
Citation: L. V. Bogdanov, Lingling Xue, “A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system”, TMF, 211:1 (2022), 37–47; Theoret. and Math. Phys., 211:1 (2022), 473–482
Citation in format AMSBIB
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\paper A~class of reductions of the~two-component KP hierarchy and the~Hirota--Ohta system
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\issue 1
\pages 37--47
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\crossref{https://doi.org/10.4213/tmf10243}
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\transl
\jour Theoret. and Math. Phys.
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\pages 473--482
\crossref{https://doi.org/10.1134/S0040577922040031}
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  • https://www.mathnet.ru/eng/tmf/v211/i1/p37
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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