Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations
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Under investigation in this paper is the coupled modified Korteweg-de Vries equations. Based on Lax pair and Darboux transformation, three-soliton and two-breather solutions are derived and analyzed. And the mixed localized wave solutions are constructed through the modified Darboux transformation. Especially, the interaction solutions between rogue wave and one-breather are constructed. These results in the present work could be used to understand related physical phenomena in nonlinear optics and relevant fields.
