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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
引用本文:庞成群.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[J].六盘水师范高等专科学校学报,2009,21(6):53-59.
作者姓名:庞成群
作者单位:六盘水师范学院物理系,贵州,六盘水,553004
摘    要: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。

关 键 词:摄动法  Riccati方程  mkdv方程  Blasius方程  对偶金兹堡-朗道方程

Several Nolinear Equations's Soling Using a Method of Expand Perturbation
PANG Cheng-qun.Several Nolinear Equations's Soling Using a Method of Expand Perturbation[J].Journal of Liupanshui Teachers College,2009,21(6):53-59.
Authors:PANG Cheng-qun
Institution:PANG Cheng-qun (Department of Physics, Liupanshui Normal College; Liupanshui 553004, China)
Abstract: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 .
Keywords:perturbation method  riccati equations  mkdv equations  blasius equations  dual GinzburgLandau equations
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