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

作　　者：庞成群[1] 

机构地区：[1]六盘水师范学院物理系,贵州六盘水553004

出　　处：《六盘水师范高等专科学校学报》2009年第6期53-59,共7页Journal of Liupanshui Teachers College

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。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 .

关 键 词：摄动法 RICCATI方程 MKDV方程 Blasius方程 对偶金兹堡-朗道方程 

分 类 号：O175.29[理学—数学]