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The influence of noise on critical collapse in the nonlinear Schrödinger equation

✍ Scribed by K.Ø Rasmussen; Yu.B Gaididei; O Bang; P.L Christiansen


Book ID
107987156
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
525 KB
Volume
204
Category
Article
ISSN
0375-9601

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Blowup in the Nonlinear Schrödinger Equa
✍ Vivi Rottschäfer; Tasso J. Kaper 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 235 KB

This article contains an analysis of the cubic nonlinear Schrödinger equation and solutions that become singular in finite time. Numerical simulations show that in three dimensions the blowup is self-similar and symmetric. In two dimensions, the blowup still appears to be symmetric but is no longer