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