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Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation

✍ Scribed by Baruch, G.; Fibich, G.; Mandelbaum, E.

Book ID
118192648
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
347 KB
Volume
70
Category
Article
ISSN
0036-1399

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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