摘要
本文对文[1]、[2]提出的修正的完全近似法作了改进:将自变量变换中的待定非线性泛函用待定非线性函数来代替,使运算简化;给出一种新的变换形式,解决了修正的完全近似法往往导致出现长期项的问题。
This paper improves the method of full approximation in [1],[2]. Here.it is the nonlinear function that substitutes the nonlinear functionals of dependent variables,therefore,it is simplified calculating process. We not only give a new transformed form,but also solve the problem of secular terms caused by the method of full approximation.
出处
《应用数学》
CSCD
北大核心
1995年第3期317-321,共5页
Mathematica Applicata
基金
江苏省教委自然科学基金
关键词
完全近似法
非线性泛函
杜芬方程
KDV方程
Asymptotic solution
Method of full approximation
Nonlinear functional
