Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method (2409.18993v1)

Abstract: The influence of fractional order parameter $(\alpha)$ in nonlinear waves is examined in the fractional Zakharov-Kuznetsov (FZK) equation with the Hirota bilinear approach. Symbolic computation is used for all mathematical calculations. A significant impact of the fractional order parameter is found on the single and multi-soliton solutions. The fact that the structural change is noticeable when $\alpha$ is raised, is crucial to our investigation.