Geodesic
Dressing method for the multicomponent short-pulse equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 272-282 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, dressing method.
Mots-clés : soliton 
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H. Wajahat W. A. Riaz; M. Hassan. Dressing method for the multicomponent short-pulse equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 272-282. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a6/

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