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- W2949544758 abstract "The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrodinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to a solitary wave, the solution converges to a sum of another solitary wave and dispersive wave which is a solution to the free Schrodinger equation. The proofs use the strategy of Buslaev-Perelman: the linerization of the dynamics on the solitary manifold, the symplectic orthogonal projection and method of majorants." @default.
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- W2949544758 date "2007-02-04" @default.
- W2949544758 modified "2023-10-04" @default.
- W2949544758 title "On Asymptotic Stability of Solitary Waves in a Nonlinear Schrodinger Equation" @default.
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