Dynamical study of a time fractional nonlinear Schrödinger model in optical fibers

In this work, the optical soliton solutions of the time-fractional nonlinear Schrödinger (NLS) model have been presented. For this purpose, we use the generalized exponential rational function method (GERFM). The NLS model plays a significant role in illustrating the specific explosion of short pulses in optical fibres. In addition, it has applications in a telecommunication system. Trigonometric solutions like dark, bright, kink, and anti-kink type optical soliton solutions get using the proposed method. For physical significance, 2D, 3D, and contour-type graphs draw with the help of Mathematica for different parameters. We conclude that the computational approach is efficient and widely suitable for finding analytical solutions to complex nonlinear problems appearing in the recent era of nonlinear optics.