Geodesic
Dressing method for the~multicomponent short-pulse equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 272-282

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{TMF_2019_199_2_a6,
     author = {H. Wajahat W. A. Riaz and M. Hassan},
     title = {Dressing method for the~multicomponent short-pulse equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {272--282},
     publisher = {mathdoc},
     volume = {199},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a6/}
}
TY  - JOUR
AU  - H. Wajahat W. A. Riaz
AU  - M. Hassan
TI  - Dressing method for the~multicomponent short-pulse equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2019
SP  - 272
EP  - 282
VL  - 199
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a6/
LA  - ru
ID  - TMF_2019_199_2_a6
ER  - 
%0 Journal Article
%A H. Wajahat W. A. Riaz
%A M. Hassan
%T Dressing method for the~multicomponent short-pulse equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2019
%P 272-282
%V 199
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a6/
%G ru
%F TMF_2019_199_2_a6
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/