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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
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.
Received: 22.10.2019 Revised: 26.11.2019
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
Linking options:
https://www.mathnet.ru/eng/tmf9838https://doi.org/10.4213/tmf9838 https://www.mathnet.ru/eng/tmf/v203/i3/p365
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Abstract page: | 222 | Full-text PDF : | 41 | References: | 28 | First page: | 6 |
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