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Singular solutions of the subcritical nonlinear Schrödinger equation

✍ Scribed by Gadi Fibich

Book ID
108240557
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
253 KB
Volume
240
Category
Article
ISSN
0167-2789

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📜 SIMILAR VOLUMES

New singular solutions of the nonlinear
New singular solutions of the nonlinear Schrödinger equation
✍ 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