Mathematics > Analysis of PDEs
[Submitted on 2 Mar 2009 (v1), last revised 1 Apr 2013 (this version, v2)]
Title:Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity
View PDFAbstract:For a large class of nonlinear Schrödinger 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.
Submission history
From: Mihai Mariş [view email][v1] Mon, 2 Mar 2009 18:54:27 UTC (55 KB)
[v2] Mon, 1 Apr 2013 16:18:00 UTC (98 KB)
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