Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations

详细信息    查看全文

• 作者：Md. Shafiqul Islam^a ; ^{shafiquemath31@gmail.com} ; ^{shafique.pust@gmail.com} ; Kamruzzaman Khan^a ; M. Ali Akbar^b
• 关键词：Improved F-expansion method ; Benney&ndash ; Luke equation ; Phi-4 equation ; Exact solution ; NLEEs
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：13-18
• 全文大小：938 K
• 卷排序：25

文摘

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.