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We discuss the last version as well as applications of a method for obtainingexact solutions of nonlinear partial differential equations. As this version isbased on more than one simple equation we call it Simple Equations Method(SEsM). SEsM contains as particular case the Modified Method of SimplestEquation (MMSE) for the case when we use one simple equation and the solutionis searched as power series of the solution of the simple equation. SEsMcontains as particular cases many other methodologies for obtaining exactsolutions of non-linear partial differential equations. We demonstrate thatSEsM can lead to multisoliton solutions of integrable nonlinear partialdifferential equations and in addition we demonstrate that SEsM keeps theproperty of the Modified Method of Simplest Equation to lead to exact solutionsof nonitegrable nonlinear partial differential equations.

The Simple Equations Method (SEsM) and the use of exponential functions  for obtaining simple and multisoliton solutions of some nonlinear partial  differential equations