Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method

TL;DR

This paper investigates how the fractional order parameter affects soliton solutions in the fractional Zakharov-Kuznetsov equation using Hirota's bilinear method, highlighting significant structural changes with varying fractional orders.

Contribution

It introduces a Hirota bilinear approach to analyze fractional Zakharov-Kuznetsov equations, emphasizing the impact of fractional order on soliton structures.

Findings

Fractional order significantly alters soliton structures.

Single and multi-soliton solutions are affected by fractional parameter.

Structural changes become noticeable as fractional order increases.

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.