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Blow-up solutions of the Chern–Simons–Schrödinger equations

Published 26 March 2009 • 2009 IOP Publishing Ltd and London Mathematical Society
, , Citation Hyungjin Huh 2009 Nonlinearity 22 967 DOI 10.1088/0951-7715/22/5/003

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1 Department of Mathematics, Myongji University, Kyunggi 449-728, Korea

Dates

  1. Received 12 December 2008
  2. Published

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0951-7715/22/5/967

Abstract

We study finite time blow-up solutions of the Chern–Simons–Schrödinger system. In particular, explicit blow-up solutions are constructed by observing the pseudo-conformal invariance and finding solutions of the self-dual equations.

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10.1088/0951-7715/22/5/003