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On self-similar singular solutions of the complex Ginzburg-Landau equation
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UNSPECIFIED (2001) On self-similar singular solutions of the complex Ginzburg-Landau equation. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 54 (10). pp. 1215-1242. ISSN 0010-3640.
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Abstract
We address the open problem of existence of singularities for the complex Ginzburg-Landau equation. Using a combination of rigorous results and numerical computations, we describe a countable family of self-similar singularities. Our analysis includes the supercritical nonlinear Schrodinger equation as a special case. We also consider the problem of stability of these singularities. (C) 2001 John Wiley & Sons, Inc.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | ||||
Publisher: | JOHN WILEY & SONS INC | ||||
ISSN: | 0010-3640 | ||||
Official Date: | October 2001 | ||||
Dates: |
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Volume: | 54 | ||||
Number: | 10 | ||||
Number of Pages: | 28 | ||||
Page Range: | pp. 1215-1242 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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