Traveling Wave Solutions to the K(m,n) equation with generalized evolution Using the First Integral Method

Abstract

In this paper, we investigate the first integral method for solving the K (m, n) equation with generalized evolution.(un)+ a(um)ux + b(un)xxx = 0 t A class of traveling wave solutions for the considered equations are obtained where 4n = 3(m + 1). This idea can obtain some exactsolutions of this equations based on the theory of Commutative algebra