F-展开法和(2+1)-维EW方程的精确解

F-expansion method and explicit solutions to(2+1)-dimensional EW equation

非线性发展方程是人们认识和解释自然界许多现象时得到的数学模型,研究这些模型的解的性态十分重要,其显式解更是人们研究所必需的.F-展开法是求解非线性发展方程精确解的非常有效的方法之一.利用F—展开法,并借助于Riccati方程的精确解,导出(2+1)-维EW方程4种不同形式的精确解.

Nonlinear developing equations are mathematical models by which much natural phenomenon can be acknowl- edged and interpreted. Studying on the solution of these models is of importance, especially for Explieit solutions. F-expansion method is very effective on solving Nonlinear developing equations. In this article, with the help of auxiliary equation （Riccati equation）, we obtained five different exact solutions of （2＋ 1）-dimensional EW Equation.