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Numerical Computation of Solutions of the Critical Nonlinear Schrödinger Equation after the Singularity

✍ Scribed by Stinis, Panos


Book ID
118212056
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
521 KB
Volume
10
Category
Article
ISSN
1540-3459

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New singular solutions of the nonlinear
✍ Gadi Fibich; Nir Gavish; Xiao-Ping Wang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 1004 KB

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