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Singularities of solutions to the Schrödinger equation on scattering manifold

✍ Scribed by Kenichi Ito, ; Shu Nakamura,

Book ID
118225229
Publisher
John Hopkins University Press
Year
2009
Tongue
English
Weight
511 KB
Volume
131
Category
Article
ISSN
0002-9327

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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