The exp<span style="font-family:Symbol;font-size:11pt;">(-j(x))</span> Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics

The exp(-j(x)) method is employed to find the exact traveling wave solutions involving parameters for nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the exp(-j(x)) method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.