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

doi:10.1088/1674-1056/ac833d

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/ac833d

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

Ming Wang(王明), Tao Xu(徐涛), Guoliang He(何国亮)^†, and Yu Tian(田雨)

School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China

收稿日期:2022-05-17 修回日期:2022-07-18 接受日期:2022-07-22 出版日期:2023-04-21 发布日期:2023-05-09
通讯作者: Guoliang He E-mail:glhemath@163.com
基金资助:
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).

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

Ming Wang(王明), Tao Xu(徐涛), Guoliang He(何国亮)^†, and Yu Tian(田雨)

School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China

Received:2022-05-17 Revised:2022-07-18 Accepted:2022-07-22 Online:2023-04-21 Published:2023-05-09
Contact: Guoliang He E-mail:glhemath@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: coupled modified nonlinear Schrödinger equation, Darboux transformation, breather, rouge wave

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.

Key words: coupled modified nonlinear Schrödinger equation, Darboux transformation, breather, rouge wave

中图分类号: (Solitons)

05.45.Yv

03.75.Mn (Multicomponent condensates; spinor condensates) 04.20.Jb (Exact solutions)

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[J]. 中国物理B, 2023, 32(5): 50503-050503.

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[J]. Chin. Phys. B, 2023, 32(5): 50503-050503.

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

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

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