Journal
APPLIED MATHEMATICS LETTERS
Volume 144, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2023.108695
Keywords
Soliton; Hirota bilinear method; Breather solution; Two-component mKdV equation
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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.
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.
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