Computational analysis and wave propagation behavior of hyper-geometric soliton waves in plasma physics via the auxiliary equation method

This study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects. Numerous vital incidents can be analyzed via the Kairat-II (K-II) model, likely the optical pulse propagation behaviors inside optical fibers and plasma. The Kairat-II (K-II) model is a vital mathematical model in the domain of science and engineering applications. This article computationally and analytically investigates the nonlinear fractional Kairat-II (K-II) model by using the auxiliary equation (AE) method through the renowned truncated M-fractional derivative. We have established several newer, practical, efficient and comprehensive closed form traveling wave solutions of the model. Moreover, we examine the influence of fractional parameters on signal transmission through optical fibers and other related wave propagations by generating 3D graphs of the established solutions. The established results confirm the effectiveness, efficiency and reliability of the considered method.