Abstract
The enhanced (G′/G)-expansion method is highly effective and competent mathematical tool to examine exact traveling wave solutions of nonlinear evolution equations (NLEEs) arising in mathematical p...
Highlights
At the present time nonlinear evolution equations (NLEEs) appear in a broad range of scientific research in various fields
Applications of the method the enhanced (G′/G)-expansion method has been put to use to examine the closed form solutions leading to solitary wave solutions to the first extended fifth order non-linear equation and medium equal width equation
Example 1 In this subsection, we will use the enhanced (G′/G)-expansion method to look for the exact solution and the solitary wave solution to the following first extended fifth order non-linear equation of the form (Wazwaz, 2014)
Summary
At the present time nonlinear evolution equations (NLEEs) appear in a broad range of scientific research in various fields. The objective of this article is to introduce and make use of the enhanced (G′/G)-expansion method to extract fresh and further general exact traveling wave solutions to the first extended fifth order nonlinear equation and medium equal (MEW) width equation. 3. Applications of the method the enhanced (G′/G)-expansion method has been put to use to examine the closed form solutions leading to solitary wave solutions to the first extended fifth order non-linear equation and medium equal width equation. Example 2 In this subsection, we will use the enhanced (G′/G)-expansion method to look for the exact solution and the solitary wave solution to the following medium equal width (MEW) equation of the form ut + 3u2ux − duxxt = 0.
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