The Modified Simple Equation Method and Its Application to Solve NLEEs Associated with Engineering Problem

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.