Different wave structures to the Chen–Lee–Liu equation of monomode fibers and its modulation instability analysis

Abstract

The purpose of this study is to construct different optical soliton solutions to the Chen–Lee–Liu equation of monomode fibers by executing the extended sinh-Gordon equation expansion method, logarithmic transformation, and the ansatz functions method along with symbolic computation. Three waves method, double exponential, and homoclinic breather techniques are employed to obtain the soliton’s interaction phenomenon. The achieved optical soliton solutions are dark, bright, singular, and their combo forms. Moreover, kinky solitons, W-shaped, M-shaped, and multi-peak solitons are also retrieved. The modulation instability analysis of the governing equation is also discussed. The 3-D, contour, and 2-D profiles of some reported solutions are also drawn to visualize their dynamics by selecting appropriate values of involved parameters. The obtained outcomes show that the applied integration technique is concise, direct, efficient, and can be used in more complex phenomena with the assistant of symbolic computations.