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Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation

✍ Scribed by C. Budd; O. Koch; E. Weinmüller


Publisher
Springer Vienna
Year
2006
Tongue
English
Weight
325 KB
Volume
77
Category
Article
ISSN
0010-485X

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📜 SIMILAR VOLUMES


New Self-Similar Solutions of the Nonlin
✍ Chris J Budd; Shaohua Chen; Robert D Russell 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 303 KB

We study the blow-up self-similar solutions of the radially symmetric nonlinear Schrödinger equation (NLS) given by iu t + u rr + d -1 r u r + u|u| 2 , with dimension d > 2. These solutions become infinite in a finite time T . By a series of careful numerical computations, partly supported by analyt