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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 206, Number 2, Pages 186–198
DOI: https://doi.org/10.4213/tmf9971 (Mi tmf9971) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Novikov equation: Bäcklund transformation and applications

Hui Mao

School of Mathematics and Statistics, Nanning Normal University, Nanning, Guangxi, China
Full-text PDF (566 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf9971
Abstract: For the Novikov equation, we construct and study a Bäcklund transformation containing both independent and dependent variables. We use the reciprocal transformation that relates the Novikov equation and the associated Novikov equation. As an application, we derive the corresponding nonlinear superposition formula and present some solutions of the Novikov equation.
Keywords: Novikov equation, Bäcklund transformation, nonlinear superposition formula, soliton.
Funding agency Grant number
National Natural Science Foundation of China 11905110
11871471
Natural Science Foundation of Guangxi Zhuang autonomous region 2018GXNSFBA050020
Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Guangxi Province 2019KY0417
This research is supported by the National Natural Science Foundation of China (Grant Nos. 11905110 and 11871471), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2018GXNSFBA050020), and the Promotion Program for Young and Middle-aged Teachers in Science and Technology Research of Guangxi Zhuang Autonomous Region, China (Grant No. 2019KY0417).
Received: 10.08.2020
Revised: 18.11.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 206, Issue 2, Pages 163–173
DOI: https://doi.org/10.1134/S0040577921020045
Bibliographic databases:
Document Type: Article
MSC: 35Q58, 37K10
Language: Russian
Citation: Hui Mao, “Novikov equation: Bäcklund transformation and applications”, TMF, 206:2 (2021), 186–198; Theoret. and Math. Phys., 206:2 (2021), 163–173
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v206/i2/p186
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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