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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DOI: 10.4236/ajcm.2015.54041    4,710 Downloads   5,960 Views  Citations
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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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(-j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics">
Shehata, M. (2015) The exp(-j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics. American Journal of Computational Mathematics, 5, 468-480. doi: 10.4236/ajcm.2015.54041.

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