Optical wave features and sensitivity analysis of a coupled fractional integrable system

This paper explores optical wave features of a coupled fractional integrable Akbota equation. The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. The Akbota equation, is a basic tool for investigating nonlinear phenomena in optics, differential geometry of curves, and magnetism. The optical wave solutions are extracted in the forms of different solitary waves as well as periodic, hyperbolic exponential function solutions. The solutions are extracted using sophisticated methods, such as the multivariate generalized exponential rational integral function approach and Kumar-Malik method. Moreover, the sensitivity analysis of the studied model is also discussed. In addition, a variety of plots demonstrating the effect of fractional derivatives are provided to observe the physical behavior of the derived solutions by the assistance of the parameters. The outcomes obtained indicate that the implemented computational strategies are proficient, succinct, effective and they can be combined with representative computations to tackle more intricate phenomena. • The β -fractional Akbota equation is under examination. • The recently developed techniques Kumar-Malik method, and the generalized multivariate exponential rational integral function method are applied. • Sensitivity analysis is also discussed. • All reported solutions are novel and have not been reported beforehand.