Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via Modified Simple Equation Method
Md. Tanjir Ahmed, Kamruzzaman Khan, M. Ali Akbar
Physical Science International Journal · pp. 490–503 · Published 18 Jul 2013
Abstract
In this paper, the modified simple equation (MSE) method is executed to find the traveling wave solutions for the (2+1)-dimensional modified KdV–Kadomtsev–Petviashvili (mKdV-KP) equation and the (2+1)-dimensional Painlevé integrable Burgers equation (PIB). The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It has shown that the 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.
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