Dressing Method for the Multicomponent Short-Pulse Equation


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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.

About the authors

H. Wajahat A. Riaz

Department of Physics

Author for correspondence.
Email: ahmed.phyy@gmail.com
Pakistan, Lahore

M. Hassan

Department of Physics

Author for correspondence.
Email: mhassan.physics@pu.edu.pk
Pakistan, Lahore

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