Stability of compacton solutions

被引：36

作者：

Dey, B ^{[1
]}

Khare, A

机构：

[1] Univ Pune, Dept Phys, Pune 411007, Maharashtra, India

[2] Inst Phys, Bhubaneswar 751005, Orissa, India

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.58.R2741

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The stability of the recently discovered compacton solutions is studied by means of both linear stability analysis as well as Lyapunov stability criteria; From the results obtained it follows that, unlike solitons, all the allowed compacton solutions are stable, since the stability condition is satisfied for arbitrary values of the nonlinearity parameter. The results are shown to be true even for the higher order nonlinear dispersion equations for compactons. Some conservation laws for the higher order nonlinear dispersion equations are also presented.

引用

页码：R2741 / R2744

页数：4

共 9 条

[1] SOLITARY WAVES IN A CLASS OF GENERALIZED KORTEWEG-DEVRIES EQUATIONS [J].