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.G′/G-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G′/G-展开法,并借助于辅助方程Riccati方程的5组精确解,导出(2+1)-维EW方程的新精确解,包括有理函数解,三角函数解和双曲函数解.
Nonlinear developing equations are mathematical models by which much natural phenomenon can be acknowledged and interpreted.It is of great importance to study the solution of these models,especially explicit solutions.G′/G-expansion method is very effective to solve nonlinear developing equations.In this article,with the help of the auxiliary equation(Riccati equation),we have obtained five different exact solutions of(2+1)-dimensional EW Equation.