This article is cited in 6 papers

Dressing method for the multicomponent short-pulse equation

H. Wajahat W. A. Riaz, M. Hassan

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

Abstract: We use the Zakharov–Shabat dressing method to solve the multicomponent short-pulse equation. We obtain dressed solutions of this equation using a Riemann–Hilbert problem. The dressed solutions of the Lax pair and the multicomponent short-pulse equation are expressed in terms of Hermitian projectors. We show that the dressed solutions are related to quasideterminant solutions, and we write $K$-soliton solutions in terms of quasideterminants. In explicit form, we obtain one- and two-soliton solutions.

Keywords: integrable system, soliton, dressing method.

Received: 14.07.2018
Revised: 14.07.2018

DOI: 10.4213/tmf9610

 English version: Theoretical and Mathematical Physics, 2019, 199:2, 709–718

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