In this article, we pay attention to the analytical method named, the improved F - expansion method combined with Riccati equation for finding the exact traveling wave solutions of the Benney–Luke equation and the Phi-4 equation. By means of this method we have explored three classes of explicit solutions-hyperbolic, trigonometric and rational solutions with some free parame-ters. When the parameters are taken as special values, the solitary wave solutions are originated from the traveling wave solutions. Our outcomes disclose that this method is very active and forthright way of formulating the exact solutions of nonlinear evolution equations arising in mathematical physics and engineering.
(2017). Application of the improved F -expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations. Journal of the Egyptian Mathematical Society, 25(1), 13-18. doi: 10.1016/j.joems.2016.03.008
MLA
. "Application of the improved F -expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations", Journal of the Egyptian Mathematical Society, 25, 1, 2017, 13-18. doi: 10.1016/j.joems.2016.03.008
HARVARD
(2017). 'Application of the improved F -expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations', Journal of the Egyptian Mathematical Society, 25(1), pp. 13-18. doi: 10.1016/j.joems.2016.03.008
VANCOUVER
Application of the improved F -expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations. Journal of the Egyptian Mathematical Society, 2017; 25(1): 13-18. doi: 10.1016/j.joems.2016.03.008
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