Novel optical soliton solutions using improved modified extended tanh function method for fractional beta time derivative (2+1)-dimensional Schrödinger equation

Abstract

In this paper, we present a novel approach for obtaining optical soliton solutions of the higher-order (2+1)-dimensional Schrödinger equation with a fractional beta time derivative. This model is significant as it accurately simulates complex physical phenomena such as the propagation of optical pulses in non-homogeneous media, which is crucial for advancing technologies in optical communications and information processing. The improved modified extended tanh method is employed to derive various types of solutions, including bright solitons, dark solitons, periodic solutions, and exponential solutions. The obtained solutions are graphically simulated for different values of [Formula: see text] to showcase the impact of the fractional derivative on the model and its relevance to real-world applications.