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On the solution of the fractional nonlinear Schrödinger equation

✍ Scribed by S.Z. Rida; H.M. El-Sherbiny; A.A.M. Arafa


Book ID
108240977
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
414 KB
Volume
372
Category
Article
ISSN
0375-9601

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✍ 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