Lie group analysis of conformable fractional Kadamtsev-Petviashvili equation

Abstract EN

Lie group analysis is used to investigate invariance properties of nonlinear fractional partial differential equations with three independent variables.

The analysis is applied to the conformable fractional Kadamtsev-Petviashvili equation (KP).

All of the vector fields and the Lie symmetries are obtained.

We show that the conformable fractional KP equation can be converted to a conformable fractional partial differential equation with two independent variables.

Henceforth, the produced equation can be transformed to a conformable fractional ordinary differential equation.