On the stability of compacton solutions

Dey, Bishwajyoti ; Khare, Avinash (1998) On the stability of compacton solutions Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 58 (3). R2741-R2744. ISSN 1539-3755

[img]
Preview
PDF - Author Version
91kB

Official URL: http://pre.aps.org/abstract/PRE/v58/i3/pR2741_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.58.R2741

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:82057
Deposited On:09 Feb 2012 05:13
Last Modified:18 May 2016 23:24

Repository Staff Only: item control page