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Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg‐de Vries equations
Author(s) -
Zhang Yi,
Ye Rusuo,
Ma Wenxiu
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5914
Subject(s) - soliton , breather , transformation (genetics) , korteweg–de vries equation , mathematics , binary number , mathematical physics , basis (linear algebra) , rogue wave , traveling wave , mathematical analysis , nonlinear system , physics , quantum mechanics , geometry , biochemistry , chemistry , arithmetic , gene
This paper considers the coupled complex modified Korteweg‐de Vries (mKdV) equations and presents a binary Darboux transformation for the equations. As a direct application, we give a classification of general soliton solutions derived from vanishing and non‐vanishing backgrounds, on the basis of the dynamical behavior of the solutions. Special types of solutions in the presented solutions include breathers, bright‐bright solitons, bright‐dark solitons, bright‐W‐shaped solitons, and rogue wave solutions. Furthermore, dynamics and interactions of vector bright solitons are exhibited.