Uncovering diverse soliton solutions in the modified Schrödinger’s equation via innovative approaches

Abstract

The topic of soliton propagation in optical fibers is explored in our research paper, with a focus on the utilization of the modified nonlinear Schrödinger’s equation with perturbation terms. Two effective techniques have been employed in this model, resulting in the generation of wave structures in a closed-form manner and the production of a wide range of distinct solutions. These solutions hold potential applications in various fields such as optical fibers, plasma fluids, and biomolecular dynamics. The proposed approaches are characterized by their simplicity, robustness, and ability to generate new solutions for nonlinear partial differential equations in the field of mathematical physics. Captivating figures depicting the propagation of traveling wave solutions for carefully chosen parameter values are included in the paper. Overall, valuable insights into the behavior of soliton propagation in optical fibers are provided by this research, and new avenues for future research in this field are offered.