Abstract
In this paper, we consider the nonlinear Schrödinger equation i∂tψ=−12Δψ+V(t,x)ψ−F(|ψ|2)ψ with time-dependent potential in R3. We prove that the weakly interacting N-soliton is asymptotically stable in a Sobolev space H1(R3) under certain assumptions on the time dependent potential V(t, x) and the spectral structures of the linearized Hamiltonian.
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