International Journal of Nonlinear Analysis and Applications

Lie symmetries, conservation laws, optimal system and power series solutions of (3+1)-dimensional fractional Zakharov-Kuznetsov equation

Articles in Press

Document Type : Research Paper

Authors

1 School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China

2 Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430081, Hubei, China

10.22075/ijnaa.2024.32813.4879

Abstract

In this paper, the Lie symmetry analysis method is applied to the high dimensional fractional Zakharov-Kuznetsov equation. All Lie symmetries and the corresponding conserved vectors for the equation are obtained. The one-dimensional optimal system is utilized to reduce the aimed equation with Riemann-Liouville fractional derivative to a low-dimensional fractional partial differential equation with Erdelyi-Kober fractional derivative. Then the power series solution of the reduced equation is given. Moreover, some other low dimensional reduced fractional differential equations with Riemann-Liouville fractional derivatives are obtained and can be solved by different methods in the literatures herein.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 14 March 2024
  • Receive Date: 10 December 2023
  • Revise Date: 13 January 2024
  • Accept Date: 15 January 2024