Abstract
In this work, the nonlinear Schrödinger’s equation is studied for birefringent fibers incorporating four-wave mixing. The improved tanϕ(ξ)2-expansion, first integral, and G′G2-expansion methods are used to extract a novel class of optical solitons in the quadratic-cubic nonlinear medium. The extracted solutions are dark, periodic, singular, and dark-singular, along with other soliton solutions. These solutions are listed with their respective existence criteria. The recommended computational methods here are uncomplicated, outspoken, and consistent and minimize the computational work size, which give it a wide range of applicability. A detailed comparison with the results that already exist is also presented.
Highlights
Optical solitons are a valuable accretion in the field of fiber optic communications.[1–3]
The nonlinear Schrödinger’s equation (NLSE) is the governing model that describes the propagation of optical solitons with different forms of nonlinear media.[4–14]
-expansion method[58] is a novel approach for calculating the soliton solutions of single and combined nonlinear equations that exist in different fields of physics, fluid mechanics, problems of wave propagation, population dynamics, etc
Summary
Optical solitons are a valuable accretion in the field of fiber optic communications.[1–3] The nonlinear Schrödinger’s equation (NLSE) is the governing model that describes the propagation of optical solitons with different forms of nonlinear media.[4–14] The nonlinear media based on the Kerr law have been extensively studied through various research papers.[12–15] Nowadays, a growing interest to study optical solitons in the non-Kerr law medium can be observed. For more than a couple of decades, the study of optical solitons has been carried out with quadratic-cubic (QC) nonlinearity This form of nonlinearity first appeared during 1994.21 Later, interest was rekindled with this model during 2011.22 There are several results with a variety of mathematical methods that are reported.[23–33]. It is worthwhile extending the coupled-mode principle to account for fiber birefringence.[49–51] In this case, a series of four coupled equations comprising forward and backward propagating waves explain the evolution of two orthogonally polarized elements, which makes the topic very complicated. -expansion method[58] is approach for calculating the soliton solutions of single and combined nonlinear equations that exist in different fields of physics, fluid mechanics, problems of wave propagation, population dynamics, etc. After a quick intro to the model, the details are enumerated in the rest of the paper
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
