Lie symmetry analysis for a 2+1 extended Boiti-Leon-Manna-Pempinelli equation

Abstract

We apply the theory of Lie symmetries for the analysis of the group properties for a recent proposed 2+1 extended Boiti-Leon-Manna-Pempinelli  equation. The equation admits infinity Lie symmetries which corresponds to the infinity number of solutions. We show that D’Alember-type wave  solutions follow from the application of Lie invariants, while new periodic solutions are determined.