Volume 82, Number 5, June 2008
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||27 May 2008|
Oscillatory instability in super-diffusive reaction diffusion systems: Fractional amplitude and phase diffusion equations
Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel
2 Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL USA
Corresponding author: firstname.lastname@example.org
Accepted: 12 April 2008
Non-linear evolution of a reaction super-diffusion system near a Hopf bifurcation is studied. Fractional analogues of the complex Ginzburg-Landau equation and Kuramoto-Sivashinsky equation are derived, and some of their analytical and numerical solutions are studied.
PACS: 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer
© EPLA, 2008
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