96-295 Wayne C.E., Pillet C.-A.
Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations (145K, postscript) Jun 17, 96
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Abstract. We construct an invariant manifold of periodic orbits for a class of non-linear Schr\"odinger equations. Using standard ideas of the theory of center manifolds, we rederive the results of Soffer and Weinstein on the large time asymptotics of small solutions (scattering theory).

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