| Issue |
EPL
Volume 82, Number 5, June 2008
|
|
|---|---|---|
| Article Number | 58003 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/82/58003 | |
| Published online | 27 May 2008 | |
Oscillatory instability in super-diffusive reaction 
diffusion systems: Fractional amplitude and phase diffusion equations
1
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: flyby@techunix.technion.ac.il
Received:
10
February
2008
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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