Optical soliton solutions of nonlinear time fractional Biswas-Milovic equation

In this article, optical soliton solutions of the time fractional Biswas-Milovic equation obtained by employing Shehu Adomian Decomposition Method (SADM). We study the projected model in terms of fractional order employing Caputo (C), Caputo-Fabrizio (CF), and Atangana- Baleanu in Caputo sense (ABC) derivatives to validate and demonstrate the competency of proposed techniques. Convergence and uniqueness of the proposed techniques are analysed. The numerical simulations are carried out and compared with the existing methods. Moreover, We depicted the 2-D,3-D and contour graphs to illustrate the behaviour of obtained solutions.

Automated summary

This article investigates the optical soliton solutions of the time fractional Biswas-Milovic equation using the Shehu Adomian Decomposition Method (SADM). Various fractional order models, including Caputo (C), Caputo-Fabrizio (CF), and Atangana-Baleanu in Caputo sense (ABC) derivatives, are employed for validation and comparison. The convergence and uniqueness of the proposed techniques are analyzed, and numerical simulations are conducted to compare with existing methods. Additionally, 2-D, 3-D, and contour graphs are presented to depict the behavior of the obtained solutions.