A Novel $$\left( {{G}'/G} \right) $$ G ′ / G -Expansion Method and its Application to the (3 + 1)-Dimensional Burger’s Equations

Abstract

In this article, a novel $$\left( {{G}'/G} \right) $$ -expansion method is used to look for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the (3 + 1)-dimensional integrable Burger’s equations by means of the suggested method. The performance of the method is reliable, useful and gives more new general exact solutions than the existing methods. The novel $$\left( {{G}'/G} \right) $$ -expansion method provides more general forms of solutions.