This article is cited in 15 papers

Bäcklund transformations for the Degasperis–Procesi equation

Hui Mao^a, Gaihua Wang<sup>b

a</sup> 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.

MSC: 35C08

Received: 22.10.2019
Revised: 26.11.2019

DOI: 10.4213/tmf9838

 English version: Theoretical and Mathematical Physics, 2020, 203:3, 747–750

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