HIGHER-ORDER APPROXIMATION IN THE REDUCTIVE PERTURBATION METHOD .3. WEAKLY DISSIPATIVE SYSTEM

被引：18

作者：

KODAMA, Y ^{[1
]}

TANIUTI, T ^{[1
]}

机构：

[1] CLARKSON COLL TECHNOL,DEPT MATH,POTSDAM,NY 13676

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1979年 / 47卷 / 05期

关键词：

D O I：

10.1143/JPSJ.47.1706

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general weakly dissipative nonlinear system of equations is approximated by the generalized Burgers equation, which is the Burgers equation plus a series of the spatial derivative of the density of the Burgers equation multiplied by a constant coefficient. The generalized Burgers equation is completely integrable, moreover, the constant coefficients can be determined by the linear dispersion relation of the original system so that the generalized Burgers equation gives the correct shock-velocity, that is, the renormalization of the shock-velocity; as the result the secular terms appearing in the higher order approximations to the shock-solution are eliminated successively. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：1706 / 1716

页数：11

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