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