Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems

Mariş, Mihai

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.

Classification : 35Q51, 35Q55, 35Q40, 35J20, 35J15, 35B65, 37K40

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