A stability analysis of periodic solutions to the steady forced Korteweg-de Vries-Burgers equation

被引：4

作者：

Hattam, L. L. ^{[1
]}

Clarke, S. R. ^{[1
]}

机构：

[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia

来源：

WAVE MOTION | 2015年 / 59卷

关键词：

Korteweg-de Vries; Stability; Floquet theory; Periodic solutions; CHAOTIC BEHAVIOR; NONLINEAR MODEL; KDVB;

D O I：

10.1016/j.wavemoti.2015.07.006

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The stability of periodic solutions to the steady forced Korteweg-de Vries-Burgers (fKdVB) equation is investigated here. This family of periodic solutions was identified by Hattam and Clarke (2015) using a multi-scale perturbation technique. Here, Floquet theory is applied to the governing equation. Consequently, two criteria are found that determine when the periodic solutions are stable. This analysis is then confirmed by a numerical study of the steady fkdVB equation. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：42 / 51

页数：10

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