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 type: Article ID code: 6471 Dates: DateEvent1 May 2000PublishedSubjects: Science > Physics > Optics. Light
Science > PhysicsDepartment: Faculty of Science > Physics Depositing user: Miss Darcy Spiller Date deposited: 08 Jul 2008 Last modified: 27 Nov 2024 01:02 URI: https://strathprints.strath.ac.uk/id/eprint/6471