Invariant analysis and conservation laws for the time fractional [formula omitted]-dimensional Zakharov–Kuznetsov modified equal width equation using Lie group analysis

Abstract

In this paper, the invariance properties of the time fractional (2+1)-dimensional Zakharov–Kuznetsov modified equal width (ZK-MEW) equation have been investigated using the Lie group analysis method. Lie point symmetries of the time fractional (2+1)-dimensional ZK-MEW equation have been derived by using the Lie group analysis method of fractional differential equations. Using the Lie symmetry analysis, the vector fields and the symmetry reduction of this equation are obtained. It is shown that the time fractional (2+1)-dimensional ZK-MEW equation can be transformed to an equation with Erdélyi–Kober fractional derivative. Finally using new conservation theorem with formal Lagrangian, the new conserved vectors are well constructed with a detailed derivation, which constitutes the conservation analysis for the time fractional (2+1)-dimensional ZK-MEW equation.