Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation
Articles
Mustafa Inc
Firat University
Aliyu Isa Aliyu
Firat University
Abdullahi Yusuf
Firat University
Dumitru Baleanu
Cankaya University
Published 2018-12-14
https://doi.org/10.15388/NA.2019.1.2
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Keywords

sine-Gordon expansion method
optical solitons
modulation instability

How to Cite

Inc M., Aliyu A. I., Yusuf A. and Baleanu D. (2018) “Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation”, Nonlinear Analysis: Modelling and Control, 24(1), pp. 20–33. doi: 10.15388/NA.2019.1.2.

Abstract

This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers. The adopted integration scheme is the sine-Gordon expansion method (SGEM). Further more, the modulation instability analysis (MI) of the equation is studied based on the standard linear-stability analysis, and the MI gain spectrum is got. Physical interpretations of the acquired results are demonstrated. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the PNSE.

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