The Extended -Expansion Method and Its Applications For Solving The (3+1)-Dimensional Nonlinear Evolution Equations in Mathematical Physcis

In this paper, we explore new applications of the extended - expansion method. We apply this method to the nonlinear (3+1)- dimensional potential-YTSF equation and the (3+1)-dimensional generalized shallow water equation.As results, some new exact traveling wave solutions are obtained which include solitary wave solutions. The travelling wave solutions are expressed by hyperbolicand trigonometric functions.