12 citations · 49 across the 11 of their papers we have counts for
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Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky, Haodong Lin +1
The Davey-Stewartson (DS) system is a canonical model for a weakly nonlinear wave packet in two spatial dimensions that is resonantly coupled to the slowly varying mean flow it gen…
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…
Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
I. V. Barashenkov, Alexander Chernyavsky
We consider the Landau-Lifshitz equation for the spin torque oscillator - a uniaxial ferromagnet in an external magnetic field with polarised spin current driven through it. In the…
Krein Signature in Hamiltonian and -symmetric Systems
A. Chernyavsky, P. G. Kevrekidis, D. E. Pelinovsky
We explain the concept of Krein signature in Hamiltonian and -symmetric systems on the case study of the one-dimensional Gross-Pitaevskii equation with a real harmoni…