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.
@incollection{JEDP_2010____A14_0, author = {Mari\c{s}, Mihai}, title = {Traveling waves for nonlinear {Schr\"odinger} equations with nonzero conditions at infinity: some results and open problems}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {14}, pages = {1--22}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2010}, doi = {10.5802/jedp.71}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.71/} }
TY - JOUR AU - Mariş, Mihai TI - Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems JO - Journées équations aux dérivées partielles PY - 2010 SP - 1 EP - 22 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.71/ DO - 10.5802/jedp.71 LA - en ID - JEDP_2010____A14_0 ER -
%0 Journal Article %A Mariş, Mihai %T Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems %J Journées équations aux dérivées partielles %D 2010 %P 1-22 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.71/ %R 10.5802/jedp.71 %G en %F JEDP_2010____A14_0
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://www.numdam.org/articles/10.5802/jedp.71/
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