Symmetry and asymmetry rogue waves in two-component coupled nonlinear Schrödinger equations

doi:10.1088/1674-1056/27/4/040505

Abstract By means of the modified Darboux transformation we obtain some types of rogue waves in two-coupled nonlinear Schrödinger equations. Our results show that the two components admits the symmetry and asymmetry rogue wave solutions, which arises from the joint action of self-phase, cross-phase modulation, and coherent coupling term. We also obtain the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure. In a special case, the asymmetry rogue wave can own the spatial and temporal symmetry gradually, which is controlled by one parameter. It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.

Keywords: rogue wave temporal inversion symmetry

Received: 11 November 2017
Revised: 02 January 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 Nos. 11304270 and 61774001), the Key Project of Scientific and Technological Research of Hebei Province, China (Grant No. ZD2015133), the Construction Project of Graduate Demonstration Course of Hebei Province, China (Grant No. 94/220079), and the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).

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

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Zai-Dong Li(李再东), Cong-Zhe Huo(霍丛哲), Qiu-Yan Li(李秋艳), Peng-Bin He(贺鹏斌), Tian-Fu Xu(徐天赋) Symmetry and asymmetry rogue waves in two-component coupled nonlinear Schrödinger equations 2018 Chin. Phys. B 27 040505

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Symmetry and asymmetry rogue waves in two-component coupled nonlinear Schrödinger equations

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