Soliton interaction with an external traveling wave

The dynamics of soliton pulses in the nonlinear Schrodinger equation (NLSE) driven bg an external traveling wave is studied analytically and numerical ly. The Hamiltonian structure of the system is used to show that, in the ad iabatic approximation for a single soliton, the problem is integrable despi te the large number of degrees of freedom. Fixed points of the system are f ound, and their linear stability is investigated. The fixed points correspo nd to a Doppler shifted resonance between the external wave and the soliton . The structure and topological changes of the phase space of the soliton p arameters as functions of the strength of coupling are investigated. A phys ical derivation of the driven NLSE is given in the Context of optical pulse propagation in asymmetric, twin-core optical fibers. The results can be ap plied to soliton stabilization and amplification. PACS number(s): 42.81.Dp, 42.65.Tg, 05.45.Yv.