This article is cited in 14 papers

Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach

Nianhua Li^ab, Gaihua Wang^c, Yonghui Kuang<sup>d

a</sup> School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian, China
^b Department of Mathematics, National Research University "Higher School of Economics", Moscow, Russia
^c Department of Mathematics, School of Science, China University of Mining and Technology, Beijing, China
^d School of Science, Zhongyuan University of Technology, Zhengzhou, China

Abstract: We propose a new approach for calculating multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit by combining a reciprocal transformation with the Darboux transformation of the negative flow of the Kaup–Kupershmidt hierarchy. In particular, different specifications of the soliton parameters lead to two different types of soliton solutions of the Degasperis–Procesi equation.

Keywords: Degasperis–Procesi equation, Darboux transformation, multisoliton solution.

MSC: 37K05, 37K10, 35C08

Received: 20.04.2019
Revised: 29.10.2019

DOI: 10.4213/tmf9734

 English version: Theoretical and Mathematical Physics, 2020, 203:2, 608–620

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