Kinks and Solitons in the Generalized Ginzburg-Landau Equation
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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