Symmetry Analysis and Conservation Laws of a Generalized Two-Dimensional Nonlinear KP-MEW Equation

Abstract EN

Lie symmetry analysis is performed on a generalized two-dimensional nonlinear Kadomtsev-Petviashvili-modified equal width equation.

The symmetries and adjoint representations for this equation are given and an optimal system of one-dimensional subalgebras is derived.

The similarity reductions and exact solutions with the aid of G ′ / G -expansion method are obtained based on the optimal systems of one-dimensional subalgebras.

Finally conservation laws are constructed by using the multiplier method.