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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

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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
Depositing user: Miss Darcy Spiller
Date Deposited: 08 Jul 2008
Last modified: 18 Jun 2015 17:08
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/6471

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