KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .3. DERIVATION OF KORTEWEG-DE VRIES EQUATION AND BURGERS EQUATION

被引：454

作者：

SU, CH

GARDNER, CS

机构：

[1] Plasma Physics Laboratory, Princeton University, Princeton, NJ

[2] Division of Applied Mathematics, Brown University, Providence, RI

[3] Department of Applied Mathematics, University of Texas, Austin, TX

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 03期

关键词：

D O I：

10.1063/1.1664873

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Korteweg-de Vries equation and the Burgers equation are derived for a wide class of nonlinear Galilean-invariant systems under the weak-nonlinearity and long-wavelength approximations. The former equation is shown to be a limiting form for nonlinear dispersive systems while the latter is a limiting form for nonlinear dissipative systems.

引用

页码：536 / &