Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations
arXiv:0712.4056 · doi:10.1209/0295-5075/82/58003
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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