The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification

Xinxin Ma

Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 80-113

Résumé

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.

Détail

Keywords: focusing coupled modified Korteweg–de Vries equation, nonzero boundary condition, dark–dark soliton, kink soliton, Riemann–Hilbert problem.

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