@article{ade89a02b38f40a1a46374afdac3c663,
title = "Theory of singular vortex solutions of the nonlinear Schr{\"o}dinger equation",
abstract = "We present a systematic study of singular vortex solutions of the critical and supercritical two-dimensional nonlinear Schr{\"o}dinger equation. In particular, we study the critical power for collapse and the asymptotic blowup profile of singular vortices.",
keywords = "Blowup rate, Collapse, Critical, Critical power, Nonlinear Schr{\"o}dinger equation, Power concentration, Ring profile, Self-similar solution, Singularity, Supercritical, Vortex",
author = "Gadi Fibich and Nir Gavish",
note = "Funding Information: We thank Steven Schochet for useful discussions. This research was partially supported by Grant No. 2006-262 from the United States–Israel Binational Science Foundation (BSF), Jerusalem, Israel. The research of Nir Gavish was also partially supported by the Israel Ministry of Science Culture and Sports. ",
year = "2008",
month = nov,
day = "1",
doi = "10.1016/j.physd.2008.04.018",
language = "אנגלית",
volume = "237",
pages = "2696--2730",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier B.V.",
number = "21",
}