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 (https://doi.org/10.1016/S0167-2789(99)00217-1)

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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.

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• Item metadata

  Item type:	Article
  ID code:	6471
  Dates:	Date Event 1 May 2000 Published
  Subjects:	Science > Physics > Optics. Light Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Miss Darcy Spiller
  Date deposited:	08 Jul 2008
  Last modified:	12 Dec 2024 02:08
  URI:	https://strathprints.strath.ac.uk/id/eprint/6471