PERTURBATION METHOD FOR A NONLINEAR WAVE MODULATION .2.

被引：210

作者：

ASANO, N

TANIUTI, T

YAJIMA, N

机构：

[1] Department of Physics, Nagoya University, Nagoya

[2] Research Institute for Fundamental Physics, Kyoto University, Kyoto

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 11期

关键词：

D O I：

10.1063/1.1664797

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A perturbation method given in a previous paper of this series is applied to two physical examples, the electron plasma wave and a nonlinear Klein-Cordon equation. In these systems, and probably in most physical systems, an assumed condition for a mode of l = 0 is not valid. Consequently, the direct application of the method is impossible. In the present paper, we shall illustrate by these examples how this difficulty can be overcome to allow us to use the method. As a result we shall find that, in either case, the original equation can be reduced to the nonlinear Schrödinger equation.

引用

页码：2020 / &