Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations
Pattern Formation and Solitons
2009-11-13 v1
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.
Cite
@article{arxiv.0712.4056,
title = {Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations},
author = {Y. Nec and A. A. Nepomnyashchy and A. A. Golovin},
journal= {arXiv preprint arXiv:0712.4056},
year = {2009}
}