Abstract
The modified simple equation (MSE) method is executed to find the traveling wave solutions for the coupled Konno-Oono equations and the variant Boussinesq equations. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It has been shown that the proposed method is direct, effective, and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. Moreover, this procedure reduces the large volume of calculations.
Highlights
Nowadays nonlinear evolution equations (NLEEs) have been the subject of all-embracing studies in various branches of nonlinear sciences
Nowadays NLEEs have been the subject of all-embracing studies in various branches of nonlinear sciences
A special class of analytical solutions named traveling wave solutions for NLEEs has a lot of importance, because most of the phenomena that arise in mathematical physics and engineering fields can be described by NLEEs
Summary
Nowadays NLEEs have been the subject of all-embracing studies in various branches of nonlinear sciences. Investigation, traveling wave solutions is becoming more and more attractive in nonlinear sciences day by day. Not all equations posed of these models are solvable. The objective of this paper is to apply the MSE method to construct the exact and traveling wave solutions for nonlinear evolution equations in mathematical physics via coupled Konno-Oono equations and variant Boussinesq equations.
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