Kinks and Solitons in the Generalized Ginzburg-Landau Equation
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The present paper is devoted to the study of localized patterns in models in which a trivial homogeneous state is stable against infinitesimal disturbances, but can be triggered into a nontrivial oscillatory state by a finite disturbance. A well-Known example of a physical medium that demonstrates this property is a layer of a binary liquid heated from below, where oscillatory convection sets in via a subcritical bifurcation.
KeywordsOscillatory Convection Transient Layer Stable Localize State Local Wavenumber Infinitesimal Disturbance
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- 1.V. I. Petviashvili and A. M. Sergeev, Spiral solitons in active media with an excitation threshold, Dokl. AN SSSR (Sov. Phys. — Doklady) 276:1380 (1964).Google Scholar
- 2.A. V. Klyachkin, Modulational instability and autowaves in active media described by nonlinear equations of the Ginzburg-Landau type, Preprint (1989).Google Scholar
- 4.B. A. Malomed and A. A. Nepomnyashchy, Kinks and soli-tons in a generalized Ginzburg-Landau equation, Proc. of the IY Int. Workshop on Nonlinear and Turbulent Processes in Physics, Naukova Dumka, Kiev, 2:391 (1989).Google Scholar
- 9.V. Hakim, P. Jakobsen, and Y. Pomeau, Fronts vs solitary waves in nonequilibrium systems, Preprint (1989).Google Scholar