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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 3, Pages 410–426
DOI: https://doi.org/10.4213/tmf10333 (Mi tmf10333) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Applications of the Sylvester equation for the lattice BKP system

Ying-Ying Suna, Chen-Chen Wua, Songlin Zhaob

a Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China
b Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
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DOI: https://doi.org/10.4213/tmf10333
Abstract: The Sylvester equation plays an important role in many branches of mathematical physics. The goal of this paper is to show that a special case of the Sylvester equation can be related to the lattice B-type Kadomtsev–Petviashvili (BKP) system via the generalized Cauchy matrix method. We use the variables given in the Sylvester equation to define the $\tau$ function and several scalar functions that are closely related to the lattice BKP equation. After rederiving the lattice BKP equation, we make it clear that besides its multisoliton solutions, various other types of exact solutions also exist. Furthermore, Lax pairs for the lattice BKP equation are obtained in different ways.
Keywords: Sylvester equation, lattice BKP system, Cauchy matrix method, solution.
Funding agency Grant number
National Natural Science Foundation of China 12001369
12071432
Shanghai Sailing Program 20YF1433000
This project is supported by the National Natural Science Foundation of China (grant Nos. 12001369 and 12071432) and Shanghai Sailing Program (grant No. 20YF1433000).
Received: 08.07.2022
Revised: 08.07.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 3, Pages 354–368
DOI: https://doi.org/10.1134/S0040577923030042
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 05.45.Yv
Language: Russian
Citation: Ying-Ying Sun, Chen-Chen Wu, Songlin Zhao, “Applications of the Sylvester equation for the lattice BKP system”, TMF, 214:3 (2023), 410–426; Theoret. and Math. Phys., 214:3 (2023), 354–368
Citation in format AMSBIB
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\by Ying-Ying~Sun, Chen-Chen~Wu, Songlin~Zhao
\paper Applications of the~Sylvester equation for the~lattice BKP system
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\vol 214
\issue 3
\pages 410--426
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\crossref{https://doi.org/10.4213/tmf10333}
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\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 214
\issue 3
\pages 354--368
\crossref{https://doi.org/10.1134/S0040577923030042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85160109778}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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