This article is cited in 4 papers

Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions

Hui Mao^ab, Chunjing Mo^a, Weicai Pang<sup>c

a</sup> School of Mathematics and Statistics, Nanning Normal University, Nanning, China
^b Guangxi Key Lab of Human-machine Interaction and Intelligent Decision, Nanning Normal University, Nanning, China
^c School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China

Abstract: We consider the defocusing modified complex short-pulse equation. The Darboux transformation for this equation is constructed with the help of the reciprocal transformation and the associated defocusing modified complex short-pulse equation. As an application, the multi-dark-soliton solutions of the defocusing modified complex short-pulse equation are presented in determinant form.

Keywords: defocusing complex modified short-pulse equation, reciprocal transformation, Darboux transformation, multi-dark-soliton solution.

MSC: 37K10; 35Q58

Received: 22.02.2022
Revised: 16.04.2022

DOI: 10.4213/tmf10270

 English version: Theoretical and Mathematical Physics, 2022, 212:3, 1211–1221

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