D.E. Pelinovsky and J. Yang

Internal oscillations and radiation damping of vector solitons

Stud. Appl. Math. 105, 245-276 (2000)

Abstract:
Internal modes of vector solitons and their radiation-induced damping are studied analytically and numerically in the framework of coupled nonlinear Schrodinger 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.

Keywords:
INTERNAL MODES, VECTOR SOLITONS, INSTABILITY