简单方程法（SEsM）和指数函数在求解非线性偏微分方程单孤子解和多孤子解中的应用
The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations
摘要：
我们讨论的最后一个版本，以及应用程序的方法获得精确解的非线性偏微分方程。由于这个版本是基于一个以上的简单方程，我们称之为简单方程方法（SESM）。SESM包含作为特殊情况的最简单方程的修正方法（MMSE）的情况下，当我们使用一个简单的方程和解决方案是作为简单方程的解决方案的幂级数搜索。SESM包含作为特殊情况下，获得非线性偏微分方程的精确解的许多其他方法。我们证明了SEsM可以得到可积非线性偏微分方程的多孤子解，并且我们还证明了SEsM保持了最简方程修正法的性质，可以得到不可积非线性偏微分方程的精确解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
