New singular solutions of the nonlinear
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Gadi Fibich; Nir Gavish; Xiao-Ping Wang
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Article
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2005
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Elsevier Science
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English
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We present numerical simulations of a new type of singular solutions of the critical nonlinear Schrödinger equation (NLS), that collapse with a quasi self-similar ring profile at a square root blowup rate. We find and analyze the equation of the ring profile. We observe that the self-similar ring pr