Symmetry analysis and exact solutions of extended Kadomtsev-Petviashvili equation in fluids

Abstract

The extended Kadomtsev-Petviashvili (eKP) equation in fluids is investigated by using Lie symmetry analysis. The symmetry reductions, together with the simplest equation method, are used to obtain exact solutions of the eKP equation. Finally, we derive the conservation laws of eKP by using multiplier approach.

Keywords

• extended kadomtsev-petviashvili equation
• lie symmetry analysis
• simplest equation method
• conservation laws