On The Stability of the Compacton Solutions

Details On The Stability of the Compacton Solutions On The Stability of the Compacton Solutions

1998-04-25

arxiv.org/abs/solv-int/9804018v1

Phys.Rev. E58 (1998) 2741-2744

Physics

Condensed Matter

9 pages, revtex style, no figures

Scientific paper

10.1103/PhysRevE.58.R2741

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.

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