一种改进的摄动法对几个非线性方程的近似解析解的求解

Several Nolinear Equations's Solving Using a Method of Expand Perturbation

提出了一种改进的摄动法,应用该方法对几个非线性方程(Riccati方程,mkdv方程,Blasius方程,对偶金兹堡朗道方程等)的求解,并与解析解或数值解进行了比较,该方法求解过程较为简洁。

An expand perturbation method is presented, Using the method,we solved several nonlinear equations （Riccati equations,mkdv equations, Blasius equations,dual Dual Ginzburg_Landau equations ）,Comparison with the numerical solutions or exact solutions shows that the method is effective and have a simple solving process .