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Integrability and structural stability of solutions to the Ginzburg-Landau equationThe integrability of the Ginzburg-Landau equation is studied to investigate if the existence of chaotic solutions found numerically could have been predicted a priori. The equation is shown not to possess the Painleveproperty, except for a special case of the coefficients that corresponds to the integrable, nonlinear Schroedinger (NLS) equation. Regarding the Ginzburg-Landau equation as a dissipative perturbation of the NLS, numerical experiments show all but one of a family of two-tori solutions, possessed by the NLS under particular conditions, to disappear under real perturbations to the NLS coefficients of O(10 to the -6th).
Document ID
19870034280
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Keefe, Laurence R. (NASA Ames Research Center Moffett Field, CA; Southern California, University, Los Angeles, United States)
Date Acquired
August 13, 2013
Publication Date
October 1, 1986
Publication Information
Publication: Physics of Fluids
Volume: 29
ISSN: 0031-9171
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: F49620-82-K-0019
CONTRACT_GRANT: NSF MEA-82-17195
Distribution Limits
Public
Copyright
Other