1998/04/25 by Bishwajyoti Dey, Avinash Khare · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat #hep-th #nlin.SI #quant-ph #solv-int
paper · pdf · doi:10.1103/physreve.58.r2741
published as Phys.Rev. E58 (1998) 2741-2744 · 9 pages, revtex style, no figures
arxiv created 1998/04/25 · openalex publication_date 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.