摘要
提出了一种新的摄动方法——线化摄动方法 ,该法摄动解的主导项的确定和传统方法完全不一样 ,它不是未扰动方程的解 ,而是线化方程的解 .该方法不仅可以应用于弱非线性方程 ,而且也适用于强非线性问题 .一些例子显示 。
In this paper,a new perturbation technique called linearized perturbation method is pro- posed. In this method,the leading term isnotthe solution of the unperturbed system,itisobtained from a linearized system in a completely different way as standard perturbation methods.The pro- posed method can be applied to notonly weakly non-linear equations,butalso strongly ones.Some examples are given,revealing that even its first order approximate solutions are of high accuracy.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
2000年第1期15-18,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家重点基础研究专项经费资助项目!(G19980 2 0 318)
上海市教委青年基金资助项目!(98QN47)
