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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 2, Pages 329–347
DOI: https://doi.org/10.4213/tmf10479 (Mi tmf10479) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discretization of the modified Korteweg–de Vries–sine Gordon equation

Aye Aye Choa, Jing Wanga, Da-jun Zhangba

a Department of Mathematics, Shanghai University, Shanghai, China
b Newtouch Center for Mathematics of Shanghai University, Shanghai, China
Full-text PDF (1066 kB) First page Citations (1)
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DOI: https://doi.org/10.4213/tmf10479
Abstract: We provide an integrable discretization of the modified Korteweg–de Vries–sine Gordon equation. The discrete form is a coupled system and is derived via the Cauchy matrix approach by introducing suitable discrete plane wave factors. Solutions and a Lax pair are constructed in this approach. The dynamics of some solutions are illustrated. The modified Korteweg–de Vries–sine Gordon equation is recovered in the continuum limit.
Keywords: modified Korteweg–de Vries–sine Gordon equation, Cauchy matrix approach, solution, Lax pair, continuum limit.
Funding agency Grant number
National Natural Science Foundation of China 12271334
12126352
12126343
11875040
This research was supported by the National Science Foundation of China (grant Nos. 12271334, 12126352, 12126343, and 11875040).
Received: 11.02.2023
Revised: 25.05.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 2, Pages 1700–1716
DOI: https://doi.org/10.1134/S0040577923110065
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 05.45.Yv
MSC: 35Q51, 35Q55, 37K60
Language: Russian
Citation: Aye Aye Cho, Jing Wang, Da-jun Zhang, “Discretization of the modified Korteweg–de Vries–sine Gordon equation”, TMF, 217:2 (2023), 329–347; Theoret. and Math. Phys., 217:2 (2023), 1700–1716
Citation in format AMSBIB
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\by Aye~Aye~Cho, Jing~Wang, Da-jun~Zhang
\paper Discretization of the~modified Korteweg--de Vries--sine Gordon equation
\jour TMF
\yr 2023
\vol 217
\issue 2
\pages 329--347
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\crossref{https://doi.org/10.4213/tmf10479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4670393}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...217.1700C}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 2
\pages 1700--1716
\crossref{https://doi.org/10.1134/S0040577923110065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168807917}
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    • This publication is cited in the following 1 articles:
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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