A novel computational approach for a nonlinear fractional model of plasma physics

In the current study, a well-known fractional nonlinear differential equation called Zakharov-Kuznetsov equation which has many applications in engineering and physics is investigated. An effective computational techniques namely Daftardar-Jafari Method (DJM) and He's fractional derivative are employed to model the problem for obtaining a high accuracy of the analytical solution. The governing equations are solved and comparison of the results with exact solutions is presented to evaluate the precision of the presented method. The outcomes reveal that the DJM is efficient and easy to utilize. Further, three-dimensional contour plots are depicted according to the suitable parameters values.

Automated summary

In this study, a well-known fractional nonlinear differential equation, the Zakharov-Kuznetsov equation, is investigated. The Daftardar-Jafari Method (DJM) and He's fractional derivative are used for modeling and obtaining a high precision analytical solution. The results are compared with exact solutions, demonstrating the efficiency and ease of use of DJM. Three-dimensional contour plots are also presented based on suitable parameter values.