Abstract
This paper introduces a fractal model of the Radhakrishnan-Kundu-Lakshmanan (RKL) occurring in a fascinating physical phenomenon in birefringent fibers. He's variational approach is used to identify novel fractal RKL-equation optical soliton solutions. The required novel criteria to ensure the existence of appropriate solitons are provided. The three-dimensional surfaces of the recording solutions are demonstrated by specifying a variety of suitable parameter values. The focus of this paper is on the groundbreaking RKL-equation work frontiers and other associated nonlinear evolution models in the field of optical solitons and solitary waves.