【摘 要】
：
In this talk, we consider vortex solutions of the NLS of the form Ψ(t,r, θ) =A(t,r)eimθ, m ∈ Z.Vortices have been intensively studied, both theoreticall
【机 构】
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SchoolofMathematicalSciences,TelAvivUniversity,TelAviv69978,Israel
【出 处】
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International Conference Nonlinear Waves-Theory and Applicat
论文部分内容阅读
In this talk, we consider vortex solutions of the NLS of the form Ψ(t,r, θ) =A(t,r)eimθ, m ∈ Z.Vortices have been intensively studied, both theoretically and experimentally, in nonlinear optics and in Bose-Einstein condensates (BEC), see [1] for a review.However, almost all of this research effort has been on non-collapsing vortices.In fact, only three papers have considered collapsing vortices [2-4].Therefore, there is a huge gap between the available theory on non-vortex and vortex singular NLS solutions.
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