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arXiv · 0903.0354

Traveling waves for nonlinear Schr\"odinger equations with nonzero conditions at infinity

Mihai Mariş
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Abstract

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.

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Mihai Mariş. 2009-03-02. Traveling waves for nonlinear Schr\"odinger equations with nonzero conditions at infinity. https://arxiv.org/abs/0903.0354

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