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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 3, Pages 365–379
DOI: https://doi.org/10.4213/tmf9838 (Mi tmf9838) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Bäcklund transformations for the Degasperis–Procesi equation

Hui Maoa, Gaihua Wangb

a School of Mathematics and Statistics, Nanning Normal University, Nanning, China
b Department of Mathematics, China University of Mining and Technology, Beijing, China
Full-text PDF (563 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf9838
Abstract: We consider the Bäcklund transformation for the Degasperis–Procesi (DP) equation. Using the reciprocal transformation and the associated DP equation, we construct the Bäcklund transformation for the DP equation involving both dependent and independent variables. We also obtain the corresponding nonlinear superposition, which we use together with the Bäcklund transformation to derive some soliton solutions of the DP equation.
Keywords: Degasperis–Procesi equation, Bäcklund transformation, nonlinear superposition formula, soliton.
Funding agency Grant number
National Natural Science Foundation of China 11905110
11871471
11931017
Natural Science Foundation of Guangxi Zhuang autonomous region 2018GXNSFBA050020
Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Guangxi Zhuang autonomous region 2019KY0417
This research is supported by the National Natural Science Foundation of China (Grant Nos. 11905110, 11871471, and 11931017), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2018GXNSFBA050020), and the Promotion Program for Young and Middle-Aged Teacher in Science and Technology Research of Guangxi Zhuang Autonomous Region, China (Grant No. 2019KY0417).
Received: 22.10.2019
Revised: 26.11.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 3, Pages 747–750
DOI: https://doi.org/10.1134/S0040577920060045
Bibliographic databases:
Document Type: Article
MSC: 35C08
Language: Russian
Citation: Hui Mao, Gaihua Wang, “Bäcklund transformations for the Degasperis–Procesi equation”, TMF, 203:3 (2020), 365–379; Theoret. and Math. Phys., 203:3 (2020), 747–750
Citation in format AMSBIB
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    • This publication is cited in the following 13 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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