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Breather and nondegenerate solitons in the two-component modified Korteweg–de Vries equation by Xuemei Xu; Yunqing Yang is a scholarly article available to read on EtoBox.

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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.

Author

Xuemei Xu; Yunqing Yang

Publisher

Elsevier BV

Published

2023

Language

EN