This article is cited in 9 papers

Darboux transformation for a semidiscrete short-pulse equation

H. Wajahat A. Riaz, M. Hassan

Department of Physics, University of the Punjab, Lahore, Pakistan

Abstract: We define a Darboux transformation in terms of a quasideterminant Darboux matrix on the solutions of a semidiscrete short-pulse equation. We also give a quasideterminant formula for $N$-loop soliton solutions and obtain a general expression for the multiloop solution expressed in terms of quasideterminants. Using quasideterminants properties, we find explicit solutions and as an example compute one- and two-loop soliton solutions in explicit form.

Keywords: discrete integrable system, soliton, Darboux transformation, quasideterminant.

Received: 16.02.2017
Revised: 28.03.2017

DOI: 10.4213/tmf9352

 English version: Theoretical and Mathematical Physics, 2018, 194:3, 360–376

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