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Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems

par Kozyreff, Gregory ;Tlidi, Mustapha
Référence Chaos, 17, 3, page (1-7), 037103
Publication Publié, 2007

Article révisé par les pairs

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Résumé :

We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form ψ ∇2 ψ and ∫∇ψ ∫2. We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems. © 2007 American Institute of Physics.