3-MODE TRUNCATION OF A MODEL EQUATION FOR SYSTEMS WITH A LONG-WAVELENGTH OSCILLATORY INSTABILITY

被引：7

作者：

BENGURIA, RD

DEPASSIER, MC

机构：

[1] Facultad de Física, P. Universidad Catalica de Chile, Santiago 22

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.45.5566

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study a three-mode truncation of the equation u(t) + uu(x) + delta-u(xxx) + u(xx) + u(xxxx) = 0. This simple model allows us to understand analytically the role played by dispersion in the appearance of well-defined traveling pulses. In the absence of dispersion, that is, for delta = 0, the solutions obtained from the truncated model are in quantitative agreement with the known results for the Kuramoto-Sivashinsky equation for small horizontal periodicity.

引用

页码：5566 / 5571

页数：6

共 14 条

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ALFARO CM, UNPUB

[2] EVOLUTION EQUATION OF SURFACE-WAVES IN A CONVECTING FLUID [J].