On weak interaction between a ground state and a non-trapping potential

Abstract

We show that ground states of the NLS moving at nonzero speed are asymptotically stable if they either stay far from the potential, or the potential is small, or the ground state has large speed.

References in corpus (6)

• Solitary Wave Dynamics in an External Potential
• Fast soliton scattering by delta impurities
• Asymptotic stability of N-soliton states of NLS
• Soliton splitting by external delta potentials
• Fine properties of Charge Transfer Models
• Sharp inelastic character of slowly varying NLS solitons