Variational method: How it can generate false instabilities

被引：30

作者：

Kaup, DJ ^{[1
]}

Lakoba, TI ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT PHYS,POTSDAM,NY 13699

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1996年 / 37卷 / 07期

关键词：

D O I：

10.1063/1.531574

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

When the variational method is applied to nonlinear evolution equations for determining solitary wave dynamics, it is possible for the method to predict the pulse to be unstable when in fact it is stable. We determine the necessary conditions for this to occur as well as give sufficient conditions for avoiding such false instabilities. We also discuss the general problem of applying the method to a general evolution equation. (C) 1996 American Institute of Physics.

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页码：3442 / 3462

页数：21

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