Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Stability of multi-parameter solitons: asymptotic approach

Skryabin, Dmitry V. (2000) Stability of multi-parameter solitons: asymptotic approach. Physica D: Nonlinear Phenomena, 139 (1-2). pp. 186-193. ISSN 0167-2789

[img]
Preview
PDF (strathprints006471.pdf)
Download (169Kb) | Preview

    Abstract

    A general asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian systems has been developed. The presented approach gives an analytical criterion for oscillatory instability and also predicts novel stationary instability of solitons. Higher order approximations allow one to calculate corresponding eigenvalues with an arbitrary accuracy. It is also shown that asymptotic study of the soliton stability reduces to the calculation of a certain sequence of the determinants, where the famous determinant of the matrix consisting from the derivatives of the system invariants is just the first in the series.

    Item type: Article
    ID code: 6471
    Keywords: multi-parameter solitons, solitons, instability, oscillatory instability, Optics. Light, Physics, Statistical and Nonlinear Physics, Condensed Matter Physics
    Subjects: Science > Physics > Optics. Light
    Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 08 Jul 2008
    Last modified: 04 Sep 2014 14:28
    URI: http://strathprints.strath.ac.uk/id/eprint/6471

    Actions (login required)

    View Item

    Fulltext Downloads: