Characteristics of nonautonomous W-shaped soliton and Peregrine comb in a variable-coefficient  higher-order nonlinear Schrödinger equation

Xing Zhang; Yin-Chuan Zhao; Feng-Hua Qi; Liu-Ying Cai

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Characteristics of nonautonomous W-shaped soliton and Peregrine comb in a variable-coefficient higher-order nonlinear Schrödinger equation

Xing Zhang 1,Yin-Chuan Zhao 1 * #,Feng-Hua Qi 2,Liu-Ying Cai 1

1.Department of Mathematics and Physics, North China Electric Power University, Beijing 102206

2.School of Information, Beijing Wuzi University, Beijing 101149

*Correspondence author

#Submitted by

Subject:

Funding: Fundamental Research Funds of theCentral Universities （No.2016MS67）, National Natural ScienceFoundation of China （No.11605011, 71571067）

Opened online:24 October 2016

Accepted by: none

Citation: Xing Zhang,Yin-Chuan Zhao,Feng-Hua Qi.Characteristics of nonautonomous W-shaped soliton and Peregrine comb in a variable-coefficient higher-order nonlinear Schrödinger equation[OL]. [24 October 2016] http://en.paper.edu.cn/en_releasepaper/content/4707262

In this paper, we study the nonautonomous characteristics of the W-shaped solitons on constant backgrounds for a variable-coefficient higher-order nonlinear Schrödinger (vc-HNLS) equation. Several types of solitons are obtained in exponentially, linearly and periodically fluctuating decreasing dispersion profiles, respectively. We also show the compression effect of the third-order dispersion (TOD) coefficient on the W-shaped soliton. We further analyze the formation and spatiotemporal characteristics of the Peregrine combs (PCs) when TOD coefficient is of the periodic form. Moreover, the PC can be converted into the Peregrine wall if the modulation amplitude is equal to 1.

Keywords:Variable-coefficient higher-order nonlinear Schrödinger equation, Nonautonomous W-shaped solitons, Higher-order effects, Peregrine combs, Peregrine walls

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