Internal oscillations and radiation damping vector solitons

Authors
Pelinovsky, DE Yang, JK
Citation
De. Pelinovsky et Jk. Yang, Internal oscillations and radiation damping vector solitons, STUD APPL M, 105(3), 2000, pp. 245-276
Citations number
33
Categorie Soggetti
Mathematics
Journal title
STUDIES IN APPLIED MATHEMATICS
ISSN journal
00222526 → ACNP
Volume
105
Issue
3
Year of publication
2000
Pages
245 - 276
Database
ISI
SICI code
0022-2526(200010)105:3<245:IOARDV>2.0.ZU;2-V
Abstract
Internal modes of vector solitons and their radiation-induced damping are s tudied analytically and numerically in the framework of coupled nonlinear S chrodinger equations. Bifurcations of internal modes from the integrable sy stems are analyzed, and the region of their existence in the parameter spac e of vector solitons is determined, In addition, radiation-induced decay of internal oscillations is investigated. Both exponential and algebraic deca y rates are identified.