On The Stability of the Compacton Solutions
solv-int
2009-10-31 v1 Condensed Matter
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Quantum Physics
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, as 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 new conservation laws for the higher order nonlinear dispersion equations are also presented.
Keywords
Cite
@article{arxiv.solv-int/9804018,
title = {On The Stability of the Compacton Solutions},
author = {Bishwajyoti Dey and Avinash Khare},
journal= {arXiv preprint arXiv:solv-int/9804018},
year = {2009}
}
Comments
9 pages, revtex style, no figures