FINITE MODE ANALYSIS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION

被引：9

作者：

ALFARO, CM

BENGURIA, RD

DEPASSIER, MC

机构：

[1] Facultad de Física, P. Universidad Católica de Chile, Avda. Vicuña Mackenna 4860, Casilla 306

来源：

PHYSICA D | 1992年 / 61卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(92)90143-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present numerical results concerning a five mode truncation of the equation u(t) + uu(x) + deltau(xxx) + u(xx) + u(xxxx) = 0 subject to periodic boundary conditions. We find that for large delta the system evolves from most initial conditions into a final state consisting of one or two traveling pulses, depending on the initial condition and horizontal periodicity. This is due to a region of simultaneous stability of the first two branches that bifurcate from the trivial solution. An additional two pulse traveling wave which does not bifurcate from u = 0 is also present.

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页码：1 / 5

页数：5

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