Soliton solutions of Sasa–Satsuma nonlinear Schrödinger model and construction of modulation instability analysis

2021 ◽  
Vol 53 (2) ◽  
Author(s):  
Aly R. Seadawy ◽  
Naila Nasreen ◽  
Saad Althobaiti ◽  
Samy Sayed ◽  
Anjan Biswas
Keyword(s):  
Modulation Instability ◽  
Soliton Solutions ◽  
Instability Analysis ◽  
Nonlinear Schrödinger

scholarly journals Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation

2018 ◽  
Vol 24 (1) ◽  
pp. 20-33 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Nonlinear Schrodinger Equation ◽  
Integration Scheme ◽  
Instability Analysis ◽  
Nonlinear Schrödinger

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.

scholarly journals New Optical Solitons And Modulation Instability Analysis of Generalized Coupled Nonlinear Schrodinger-KdV System

2022 ◽  
Author(s):  
Thilagarajah Mathanaranjan
Keyword(s):  
Gordon Equation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Optical Solitons ◽  
Ansatz Method ◽  
Instability Analysis ◽  
Nonlinear Schrödinger ◽  
Short Waves ◽  
Singular Soliton

Abstract In this study, the generalized coupled nonlinear Schrodinger-KdV (NLS-KdV) system is investigated to obtain new optical soliton solutions. This system appears as a model for reciprocity between long and short waves in various of physical settings. Different kind of new soliton solutions including dark, bright, combined dark-bright, singular and combined singular soliton solutions are obtained using two effective methods namely, the extended sinh-Gordon equation expansion method and the solitary wave ansatz method. In addition, the modulation instability analysis of the system is presented based on the standard linearstability analysis. The behaviours of obtained solutions are expressed by 3D graphs.

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