The Modified Simple Equation Method and Its Application to Solve NLEEs Associated with Engineering Problem
M. Ashrafuzzaman Khan
Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
M. Ali Akbar *
Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
*Author to whom correspondence should be addressed.
Abstract
The modified simple equation (MSE) method is an important mathematical tool for searching closed-form solutions to nonlinear evolution equations (NLEEs). In the present paper, by using the MSE method, we derive some impressive solitary wave solutions to NLEES via the strain wave equation in microstructured solids which is a very important equation in the field of engineering. The solutions contain some free parameters and for particulars values of the parameters some known solutions are derived. The solutions exhibit necessity and reliability of the MSE method.
Keywords: Modified simple equation method, balance number, solitary wave solutions, strain wave equation, microstructured solids