Exploration of New Solitons for the Fractional Perturbed Radhakrishnan-Kundu-Lakshmanan Model

The key objective of the current manuscript was to investigate the exact solutions of the fractional perturbed Radhakrishnan-Kundu-Lakshmanan model. For this purpose, we applied two reliable and efficient approaches; specifically, the modified simple equation (MSE) and exponential rational function (ERF) techniques. The methods considered in this paper offer solutions for problems in nonlinear theory and mathematical physics practice. We also present solutions obtained graphically with the Maple package program.