Geodesic
The~focusing coupled modified Korteweg--de Vries equation with nonzero boundary conditions: the~Riemann--Hilbert problem and soliton classification
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 80-113

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

The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions is investigated by the Riemann–Hilbert approach. Three symmetries are formulated to derive compact exact solutions. The solutions include six different types of soliton solutions and breathers, such as dark–dark, bright–bright, kink–dark–dark, kink–bright–bright solitons, and a breather–breather solution.
Keywords: focusing coupled modified Korteweg–de Vries equation, nonzero boundary condition, dark–dark soliton, kink soliton, Riemann–Hilbert problem. 
@article{TMF_2024_219_1_a6,
     author = {Xinxin Ma},
     title = {The~focusing coupled modified {Korteweg--de} {Vries} equation with nonzero boundary conditions: {the~Riemann--Hilbert} problem and soliton classification},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {80--113},
     publisher = {mathdoc},
     volume = {219},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a6/}
}
TY  - JOUR
AU  - Xinxin Ma
TI  - The~focusing coupled modified Korteweg--de Vries equation with nonzero boundary conditions: the~Riemann--Hilbert problem and soliton classification
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2024
SP  - 80
EP  - 113
VL  - 219
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a6/
LA  - ru
ID  - TMF_2024_219_1_a6
ER  - 
%0 Journal Article
%A Xinxin Ma
%T The~focusing coupled modified Korteweg--de Vries equation with nonzero boundary conditions: the~Riemann--Hilbert problem and soliton classification
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2024
%P 80-113
%V 219
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a6/
%G ru
%F TMF_2024_219_1_a6
Xinxin Ma. The~focusing coupled modified Korteweg--de Vries equation with nonzero boundary conditions: the~Riemann--Hilbert problem and soliton classification. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 80-113. http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a6/