Abstract We investigate the coupled modified nonlinear Schrödinger equation. Breather solutions are constructed through the traditional Darboux transformation with nonzero plane-wave solutions. To obtain the higher-order localized wave solution, the N-fold generalized Darboux transformation is given. Under the condition that the characteristic equation admits a double-root, we present the expression of the first-order interactional solution. Then we graphically analyze the dynamics of the breather and rogue wave. Due to the simultaneous existence of nonlinear and self-steepening terms in the equation, different profiles in two components for the breathers are presented.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11871232 and 12201578) and Natural Science Foundation of Henan Province, China (Grant Nos. 222300420377 and 212300410417).
Corresponding Authors:
Guoliang He
E-mail: glhemath@163.com
Cite this article:
Ming Wang(王明), Tao Xu(徐涛), Guoliang He(何国亮), and Yu Tian(田雨) Breather and its interaction with rogue wave of the coupled modified nonlinear Schrödinger equation 2023 Chin. Phys. B 32 050503
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