Multichannel nonlinear scattering for nonintegrable equations. (English) Zbl 0721.35082

The authors consider a class of nonlinear (time dependent) Schrödinger equations with localized and dispersive solutions. They obtain a class of initial conditions, for which the asymptotic behavior of solutions is given by a linear combination of nonlinear bound state and a purely dispersive part. They obtain also asymptotic stability result.
Reviewer: D.Robert (Nantes)


35Q55 NLS equations (nonlinear Schrödinger equations)
35B40 Asymptotic behavior of solutions to PDEs
35B35 Stability in context of PDEs
35P25 Scattering theory for PDEs
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