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

Mustafa Inc,Depelair Bienvenu,Yu-Ming Chu,Salathiel Yakada,Gambo Betchewe

doi:10.1515/phys-2021-0003

Abstract

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.

Highlights

Many authors focused their interest on treatment of the nonlinear physical system to unearth the wave called “soliton.” Solitons have been found in many
Other models have been designed in recent years to illustrate the propagation of optical waves, among which the the Triki–Biswas equation [21], Fokas– Lenells equation [22] and so on
The model has been the subject of a treatment taking into account the dual power low of nonlinearity, as a result the chirped solitons have been obtained [23]

Summary

Introduction

Many authors focused their interest on treatment of the nonlinear physical system to unearth the wave called “soliton.” Solitons have been found in manyIn addition, other models have been designed in recent years to illustrate the propagation of optical waves, among which the the Triki–Biswas equation [21], Fokas– Lenells equation [22] and so on. With the event of chirped soliton which is able to remain in its form after perturbation or collision, it is possible to make pulse uniform in the nonlinear physical system [18]. The model has been the subject of a treatment taking into account the dual power low of nonlinearity, as a result the chirped solitons have been obtained [23]. To obtain the analytical form of chirps, we multiply equation (4) by φ, and integrate once by simultaneously considering the integration constant as zero as follows:

Results

Conclusion