Optical solitons and modulation instability analysis with (3 + 1)-dimensional nonlinear Shrödinger equation

2017 ◽  
Vol 112 ◽  
pp. 296-302 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Modulation Instability ◽  
Optical Solitons ◽  
Instability Analysis ◽  
Shrodinger Equation

Dark and combined optical solitons, and modulation instability analysis in dispersive metamaterial

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 484-491 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Modulation Instability ◽  
Optical Solitons ◽  
Instability Analysis

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.

scholarly journals W-Chirped optical solitons and modulation instability analysis of Chen–Lee–Liu equation in optical monomode fibres

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 26-34
Author(s):  
Mustafa Inc ◽  
Salathiel Yakada ◽  
Depelair Bienvenu ◽  
Gambo Betchewe ◽  
Yu-Ming Chu
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Steady State ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
The Other ◽  
Instability Analysis ◽  
Other Hand ◽  
Ode Method

Abstract This work was devoted to unearth W-chirped to the famous Chen–Lee–Liu equation (CLLE) in optical monomode fibres. The results obtained will be useful to explain wave propagating with the chirp component. To attempt the main goal, we have used the new sub-ordinary differential equation (ODE) technique which was upgraded recently by Zayed EME, Mohamed EMA. Application of newly proposed sub-ODE method to locate chirped optical solutions to the Triki–Biswas equation equation. Optik. 2020;207:164360. On the other hand, we have used the modulation analysis to study the steady state of the obtained chirped soliton solutions in optical monomode fibres.

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