NDLI: Solitons, breathers and rogue waves for a sixth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber

Content Provider	Springer Nature Link
Author	Jia, Shu Liang Gao, Yi Tian Zhao, Chen Lan, Zhong Zhou Feng, Yu Jie
Copyright Year	2017
Abstract	Under investigation in this paper is a sixth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber. Through the Darboux transformation (DT) and generalized DT, we obtain the multi-soliton solutions, breathers and rogue waves. Choosing different values of $\alpha$ (x), $\beta$ (x), $\gamma$ (x) and $\delta$ (x), which are the coefficients of the third-, fourth-, fifth- and sixth-order dispersions, respectively, we investigate their effects on those solutions, where x is the scaled propagation variable. When $\alpha$ (x), $\beta$ (x), $\gamma$ (x) and $\delta$ (x) are chosen as the linear, parabolic and periodic functions, we obtain the parabolic, cubic and quasi-periodic solitons, respectively. Head-on and overtaking interactions between the two solitons are presented, and the interactions are elastic. Besides, with certain values of the spectral parameter $\lambda$ , a shock region between the two solitons appears, and the interaction is inelastic. Interactions between two kinds of the breathers are also studied, and we find that the interaction regions are similar to those of the second-order rogue waves. Rogue waves are split into some first-order rogue waves when $\alpha$ (x), $\beta$ (x), $\gamma$ (x) and $\delta$ (x) are the periodic or odd-numbered functions.
Starting Page	1
Ending Page	14
Page Count	14
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	132
Issue Number	1
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-01-23
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Complex Systems Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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