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

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

2007-12-25

arxiv.org/abs/0712.4056v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1209/0295-5075/82/58003

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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