25 citations · 68 across the 17 of their papers we have counts for
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Weakly non-linear dynamics in reaction -- diffusion systems with Lévy flights
Y. Nec, A. A. Nepomnyashchy, A. A. Golovin
Reaction--diffusion equations with a fractional Laplacian are reduced near a long wave Hopf bifurcation. The obtained amplitude equation is shown to be the complex Ginzburg-Landau…
Oscillatory instability in super-diffusive reaction -- diffusion systems: fractional amplitude and phase diffusion equations
Y. Nec, A. A. Nepomnyashchy, A. A. Golovin
Nonlinear evolution of a reaction--super-diffusion system near a Hopf bifurcation is studied. Fractional analogues of complex Ginzburg-Landau equation and Kuramoto-Sivashinsky equa…
Front motion for phase transitions in systems with memory
Horacio G. Rotstein, Alexander I. Domoshnitsky, Alexander Nepomnyashchy
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and the…