Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity

Autores: Mihai Maris
Localización: Annals of mathematics, ISSN 0003-486X, Vol. 178, Nº 1, 2013, págs. 107-182
Idioma: inglés
DOI: 10.4007/annals.2013.178.1.2
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Resumen
- 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?3. Our results are valid as well for the Gross-Pitaevskii equation and for NLS with cubic-quintic nonlinearity.