Evolution of patterns in the anisotropic complex Ginzburg-Landau equation: Modulational instability

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.47.4141· OSTI ID:6585360

Brown, R ^[1]; Fabrikant, A L; Rabinovich, M I ^[2]

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1. Institute for Nonlinear Science, University of California, San Diego, San Diego, California 92093 (United States)
2. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod (Russian Federation)

We investigate the instability of the anisotropic complex Ginzburg-Landau equation as a function of its parameters. We derive the conditions necessary for the instability of a homogeneous solution. In addition, the analytic geometry of the unstable solutions in wave-number space is investigated. This allows us to establish the most unstable wave (as a function of Reynolds number) whose evolution will eventually dominate the dynamics.

• DOE Contract Number: FG03-90ER14138
• OSTI ID: 6585360
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 47:6; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
DISTORTED WAVE THEORY
FLUID FLOW
GINZBURG-LANDAU THEORY
INSTABILITY
NONLINEAR PROBLEMS
REYNOLDS NUMBER