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Internal Oscillations and Radiation Damping of Vector Solitons
Author(s) -
Pelinovsky Dmitry E.,
Yang Jianke
Publication year - 2000
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00151
Subject(s) - algebraic number , physics , integrable system , nonlinear system , radiation , space (punctuation) , nonlinear oscillations , exponential function , mathematical analysis , radiation damping , exponential decay , oscillation (cell signaling) , classical mechanics , quantum electrodynamics , mathematical physics , mathematics , quantum mechanics , linguistics , philosophy , biology , genetics
Internal modes of vector solitons and their radiation‐induced damping are studied analytically and numerically in the framework of coupled nonlinear Schrödinger equations. Bifurcations of internal modes from the integrable systems are analyzed, and the region of their existence in the parameter space of vector solitons is determined. In addition, radiation‐induced decay of internal oscillations is investigated. Both exponential and algebraic decay rates are identified.