An exploration of novel soliton solutions for propagation of pulses in an optical fiber

In this article, the propagation of pulses in optical fiber has been studied by considering the nonlinear partial differential equation (NPDE). The proposed model is investigated using two analytical techniques namely the Sine-Gordon expansion (SGE) procedure and the modified auxiliary equation (MAE) method. The trigonometric function, hyperbolic function, and rational function solutions have been extracted from the proposed methods. The employed procedures are compatible in obtaining traveling wave solutions. Moreover, the obtained results are assisted with 3D graphs to demonstrate the physical significance and dynamical behaviors by using different parameter values.

Automated summary

This article investigates the propagation of pulses in optical fiber using the nonlinear partial differential equation (NPDE). Two analytical techniques, the Sine-Gordon expansion (SGE) procedure and the modified auxiliary equation (MAE) method, are used to study the proposed model. Trigonometric, hyperbolic, and rational function solutions are obtained from these methods. The obtained results are demonstrated with 3D graphs to show their physical significance and dynamic behaviors with different parameter values.