American Journal of Computational Mathematics
Volume 5, Issue 4 (December 2015)
ISSN Print: 2161-1203 ISSN Online: 2161-1211
Google-based Impact Factor: 0.42 Citations
The exp(-j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics ()
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ABSTRACT
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.
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