Two core optical fibers coupled nonlinear model in the framework of Hausdorff fractal derivative

Abstract

In this article, two core optical fibers coupled nonlinear model in the sense of Hausdorff fractal derivative is established for the construction of bright, dark, and exponential novel solitons. The model built in terms of the fractal derivative is ideal for propagating the pulse in asymmetric twin-core fibers. Using the variational method, computed novel bright, dark, and exponential solitons are achieved. For the production of soliton solutions, the constraint conditions are defined. Under the choice of appropriate values of physical parameters, the wide range of newly obtained bright, dark, and exponential solitons is represented graphically in 3D, 2D, and contour graphs.