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arXiv · 0712.4056

Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations

Y. Nec·A. A. Nepomnyashchy·A. A. Golovin
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Abstract

Nonlinear evolution of a reaction--super-diffusion system near a Hopf bifurcation is studied. Fractional analogues of complex Ginzburg-Landau equation and Kuramoto-Sivashinsky equation are derived, and some of their analytical and numerical solutions are studied.

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Y. Nec, A. A. Nepomnyashchy, A. A. Golovin. 2007-12-25. Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations. https://doi.org/10.1209/0295-5075/82/58003

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