Breather and its interaction with rogue wave of the coupled modified nonlinear Schrödinger equation

doi:10.1088/1674-1056/ac833d

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.

Keywords: coupled modified nonlinear Schrödinger equation Darboux transformation breather rouge wave

Received: 17 May 2022
Revised: 18 July 2022
Accepted manuscript online: 22 July 2022

PACS:	05.45.Yv	(Solitons)
	03.75.Mn	(Multicomponent condensates; spinor condensates)
	04.20.Jb	(Exact solutions)

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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Breather and its interaction with rogue wave of the coupled modified nonlinear Schrödinger equation

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