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

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.

Automated summary

In this article, a nonlinear model based on the Hausdorff fractal derivative is established for analyzing the bright, dark, and exponential solitons in asymmetric twin-core fibers. Using the variational method, soliton solutions are computed and represented graphically in 3D, 2D, and contour graphs under selected physical parameters. The newly obtained solitons demonstrate the effectiveness of the model in propagating pulses in such fibers.