Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

doi:10.1088/1674-1056/28/1/010504

Abstract

Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations. As an example, some types of exact breather solutions are given analytically by adjusting the parameters. Moreover, the interesting fundamental problem is to clarify the formation mechanism of asymmetry breather solutions and how the particle number and energy exchange between the background and soliton ultimately form the breather solutions. Our results also show that the formation mechanism from breather to rogue wave arises from the transformation from the periodic total exchange into the temporal local property.

Keywords: Akhmediev breather solution Kuznetsov-Ma breather solution rogue wave nonuniform exchange

Received: 25 September 2018
Revised: 06 November 2018
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 61774001) and the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).

Corresponding Authors: Zai-Dong Li
E-mail: lizd@hebut.edu.cn

Cite this article:

Zai-Dong Li(李再东), Yang-yang Wang(王洋洋), Peng-Bin He(贺鹏斌) Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations 2019 Chin. Phys. B 28 010504

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Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

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