A note on the invariance properties and conservation laws of the kadomstev-petviashvili equation with power law nonlinearity

Abstract

First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.