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arXiv:0903.0354 [math.AP]AbstractReferencesReviewsResources

Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity

Mihai Mariş

Published 2009-03-02, updated 2013-04-01Version 2

For a large class of nonlinear Schr\"odinger equations with nonzero conditions at infinity and for any speed $c$ less than the sound velocity, we prove the existence of nontrivial finite energy traveling waves moving with speed $c$ in any space dimension $N\geq 3$. Our results are valid as well for the Gross-Pitaevskii equation and for NLS with cubic-quintic nonlinearity.

Comments: 60 pages. Final version, to appear in the Annals of Mathematics
Categories: math.AP
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