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Invariant Manifolds of Traveling Waves of the 3D Grossā€“Pitaevskii Equation in the Energy Space

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Published in 2017 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-018-3189-6

Abstract: We study the local dynamics near general unstable traveling waves of the 3D Grossā€“Pitaevskii equation in the energy space by constructing smooth local invariant center-stable, center-unstable and center manifolds. We also prove that (i) the… read more here.

Keywords: pitaevskii equation; waves gross; traveling waves; center ... See more keywords