Investigation of exact soliton solutions to Chen–Lee–Liu equation in birefringent fibers and stability analysis

Abstract

This study is devoted to uncover the optical solitons and other solutions. The mathematical models used for this purpose is Chen–Lee–Liu equation in birefringent fibers which consist of two components form of vector solitons in optical fiber. This system involves group velocity dispersion (GVD) and self-steeping coefficients that model the propagation of soliton flow through optical fibers and other wave-guide mediums. By the virtue of two innovative norms known as modified exp(−ϕ(ϖ))-expansion function method and Φ6-model expansion method hyperbolic, periodic and plan wave solutions are constructed. The hyperbolic solutions are segregated as dark, bright, singular and their combo forms. Besides, the linear stability mechanism is used to attain modulation instability (MI) gain. By selecting suitable parametric values, numerical simulation and physical interpretations of the achieved outcomes are manifested with interesting figures presenting the meaning of the acquired results. The results reported in this paper can enrich the nonlinear dynamical behaviors of the given system and may be helpful in many fields like telecommunication engineering, mathematical biology, mathematical physics, optical fiber and also exhibit that employed methods are effective and worthy of being tested.