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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 1, Pages 48–64
DOI: https://doi.org/10.4213/tmf10179 (Mi tmf10179) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations

Maebel Mesfuna, Song-Lin Zhaob

a Department of Mathematics, Shanghai University, Shanghai, China
b Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
Full-text PDF (897 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10179
Abstract: Based on a determining equation set and master function, we consider a Cauchy matrix scheme for three semidiscrete lattice Korteweg–de Vries-type equations. The Lax integrability of these equations is discussed. Various types of solutions, including soliton solutions, Jordan-block solutions, and mixed solutions are derived by solving the determining equation set. Specifically, we find $1$-soliton, $2$-soliton, and the simplest Jordan-block solutions for the semidiscrete lattice potential Korteweg–de Vries equation.
Keywords: semidiscrete lattice Korteweg–de Vries-type equations, Cauchy matrix approach, Lax integrability, solution.
Funding agency Grant number
National Natural Science Foundation of China 12071432
11401529
Natural Science Foundation of Zhejiang Province LY18A010033
This project is supported by the National Natural Science Foundation of China (grant Nos. 12071432 and 11401529) and the Natural Science Foundation of Zhejiang Province (grant No. LY18A010033).
Received: 08.10.2021
Revised: 05.11.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 1, Pages 483–497
DOI: https://doi.org/10.1134/S0040577922040043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Maebel Mesfun, Song-Lin Zhao, “Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations”, TMF, 211:1 (2022), 48–64; Theoret. and Math. Phys., 211:1 (2022), 483–497
Citation in format AMSBIB
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\by Maebel~Mesfun, Song-Lin~Zhao
\paper Cauchy matrix scheme for semidiscrete lattice Korteweg--de~Vries-type equations
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\pages 48--64
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\jour Theoret. and Math. Phys.
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\pages 483--497
\crossref{https://doi.org/10.1134/S0040577922040043}
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    • This publication is cited in the following 4 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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