Abstract
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 flat-top, 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.
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