25 citations · 26 across the 3 of their papers we have counts for
3 papers
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…
Steady and Oscillatory Side-Band Instabilities in Marangoni Convection with Deformable Interface
A. A. Golovin, A. A. Nepomnyashchy, L. M. Pismen +1
The stability of Marangoni roll convection in a liquid-gas system with deformable interface is studied in the case when there is a nonlinear interaction between two modes of Marang…