Several Examples of Application of the Simple Equations Method (SEsM) for Obtaining Exact Solutions of Nonlinear PDEs

Abstract: We apply the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear differential equations. We discuss several examples with goal to illustrate the results from the use of derivatives of composite functions in the algorithm of SEsM. The discussed examples contain derivatives of functions which are composite functions of solutions of two simple equations.