26 citations · 314 across the 90 of their papers we have counts for
5 papers · 1 filter
Hamiltonian and small action variables for periodic dNLS
Evgeny L. Korotyaev
We consider the defocussing NLS equation with small periodic initial condition. A new approach to study the Hamiltonian as a function of action variables is demonstrated. The probl…
Estimates for solutions of KDV on the phase space of periodic distributions in terms of action variables
Evgeny L. Korotyaev
We consider the KdV equation on the Sobolev space of periodic distributions. We obtain estimates of the solution of the KdV in terms of action variables.
Zigzag and armchair nanotubes in external fields
E. L. Korotyaev, A. A. Kutsenko
We consider the Schrödinger operator on the zigzag and armchair nanotubes (tight-binding models) in a uniform magnetic field $\mB$ and in an external periodic electric potential. T…
Schrödinger operator on the zigzag half-nanotube in magnetic field
Alexei Iantchenko, Evgeny Korotyaev
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential pl…
1D Schrödinger operator with periodic plus compactly supported potentials
Evgeny Korotyaev
We consider the 1D Schrödinger operator with a periodic potential plus compactly supported potential on the real line. The spectrum of consists of an a…