TOPOLOGICAL SOLITON, SINGULAR SOLITON AND OTHER EXACT TRAVELING WAVE SOLUTIONS FOR BURGER-HUXLEY EQUATION

The ( G' / G ) -expansion method is one of the most direct and efficient method for searching exact solutions of nonlinear partial differential equations (PDEs). In this paper, the new approach of improved ( G' / G ) -expansion method is promising for finding exact traveling wave solutions for the Burger-Huxley equation. As a result, some new topological and non-topological soliton solutions have been achieved of the equation. The method is very straightforward, efficient and germane mathematical tools for nonlinear evolution equations (NLEEs). Further, three-dimensional plots of the wave solutions are also given to visualize the dynamics of the equation.