Skryabin, Dmitry V. (2000) Stability of multiparameter solitons: asymptotic approach. Physica D: Nonlinear Phenomena, 139 (12). pp. 186193. ISSN 01672789

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Abstract
A general asymptotic approach to the stability problem of multiparameter 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:  multiparameter 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:  24 Jul 2015 09:03 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/6471 
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