Article ID Journal Published Year Pages File Type
6898992 Journal of the Egyptian Mathematical Society 2017 6 Pages PDF
Abstract
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 parameters. 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.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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