Kinks and Solitons in the Generalized Ginzburg-Landau Equation

  • Boris A. Malomed
  • Alexander A. Nepomnyashchy
Part of the NATO ASI Series book series (NSSB, volume 225)


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.


Oscillatory Convection Transient Layer Stable Localize State Local Wavenumber Infinitesimal Disturbance 


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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Boris A. Malomed
    • 1
  • Alexander A. Nepomnyashchy
    • 2
  1. 1.P. P. Shirshov Institute for Oceanology of the USSR Academy of SciencesMoscowUSSR
  2. 2.Institute for Continuous Media Mechanics of the Ural Branch of the USSR Academy of SciencesPermUSSR

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