Symmetry Reduced and New Exact Nontraveling Wave Solutions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli Equation

Abstract

With the aid of Maple symbolic computation and Lie group method, ($2+1$)-dimensional PBLMP equation is reduced to some ($1+1$)-dimensional PDE with constant coefficients. Using the homoclinic test technique and auxiliary equation methods, we obtain new exact nontraveling solution with arbitrary functions for the PBLMP equation.