Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Journées équations aux dérivées partielles (2010), article no. 14, 22 p.

This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.

DOI : 10.5802/jedp.71
Classification : 35Q51, 35Q55, 35Q40, 35J20, 35J15, 35B65, 37K40
Mariş, Mihai 1

1 Institut de Mathématiques de Toulouse UMR 5219, Université Paul Sabatier - Toulouse 3, 118, Route de Narbonne, 31062 Toulouse cedex, France
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Mariş, Mihai. Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems. Journées équations aux dérivées partielles (2010), article  no. 14, 22 p. doi : 10.5802/jedp.71. http://archive.numdam.org/articles/10.5802/jedp.71/

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