12 citations · 49 across the 11 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
nlin.PS2023★ 7 cited
Whitham modulation theory for the Zakharov-Kuznetsov equation and transverse instability of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky
We derive the Whitham modulation equations for the Zakharov-Kuznetsov equation via a multiple scales expansion and averaging two conservation laws over one oscillation period of it…
physics.optics2023★ 5 cited
Integrability and trajectory confinement in -symmetric waveguide arrays
I V Barashenkov, Frank Smuts, Alexander Chernyavsky
We consider -symmetric ring-like arrays of optical waveguides with purely nonlinear gain and loss. Regardless of the value of the gain-loss coefficient, these systems…