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On singularities of solutions of the Schrödinger equation for a free particle

✍ Scribed by N. A. Shananin


Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
305 KB
Volume
55
Category
Article
ISSN
0001-4346

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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