Breather and nondegenerate solitons in the two-component modified Korteweg-de Vries equation

In this paper, we investigate the nonlinear dynamics of an interesting class of vector solitons in the two-component modified Korteweg-de Vries (mKdV) equation. We construct the nondegenerate solitons and the breather solutions of the two-component mKdV equation by applying a non-standard form of the Hirota direct method. Our study shows that the nondegenerate solitons and the breather solutions of the system consist of three profiles: single-hump, double-hump and flattop, and the collisions among nondegenerate solitons are always standard inelastic collisions. An explicit form of the general breather solution of the two-component mKdV equation is presented.

Automated summary

This paper investigates the nonlinear dynamics of a interesting class of vector solitons in the two-component modified Korteweg-de Vries equation. Nondegenerate solitons and breather solutions of the system are constructed using a non-standard form of the Hirota direct method. The study shows that the solitons and breather solutions consist of three profiles: single-hump, double-hump, and flattop, and the collisions among solitons are always standard inelastic collisions. An explicit form of the general breather solution is presented.