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This article is cited in 2 scientific papers (total in 2 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
Citation:
H. Wajahat W. A. Riaz, M. Hassan, “Dressing method for the multicomponent short-pulse equation”, TMF, 199:2 (2019), 272–282; Theoret. and Math. Phys., 199:2 (2019), 709–718
Linking options:
https://www.mathnet.ru/eng/tmf9610https://doi.org/10.4213/tmf9610 https://www.mathnet.ru/eng/tmf/v199/i2/p272
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Abstract page: | 317 | Full-text PDF : | 62 | References: | 39 | First page: | 7 |
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