Optical solitons to birefringent fibers for coupled Radhakrishnan–Kundu–Lakshmanan model without four-wave mixing

The article investigates optical soliton to Radhakrishnan–Kundu–Lakshmanan (RKL) equation in birefringent fibers which involving two component form for vector solitons in telecommunication system. The optical solitons in the form of single and combined form like bright-dark, dark-singular, complex soliton and multiple solitons are extracted successfully by the mechanism of Fan-extended sub equation (FESE) approach with the effect of five free parameters. Moreover, we get singular periodic wave solutions and some constraint conditions for the existence of soliton and other solutions are also observed. Furthermore, by selecting the appropriate choices of the parameters 3D, 2D and corresponding contour graphs are presented to explain the results physically. The obtained outcomes show that the applied method is concise, direct, efficient and can be imposed in more complex phenomena with the assistant of symbolic computation to get variety of solitons by a single approach.