26 citations · 314 across the 90 of their papers we have counts for
113 papers
Scattering for anisotropic potentials
Evgeny Korotyaev
We consider the scattering for the operator , where the unperturbed operator is not assumed to be elliptic and the potential is anisotropic. Under some condition…
Inverse problem for the divisor of the good Boussinesq equation
Andrey Badanin, Evgeny Korotyaev
A third-order operator with periodic coefficients is an L-operator in the Lax pair for the Boussinesq equation on a circle. The projection of the divisor of the Floquet solution po…
Estimates, asymptotics and trace formulas for periodic vector NLS equations, II
Evgeny Korotyaev
We consider a first order operator with a smooth periodic 3x3 matrix potential on the real line. It is the Lax operator for the periodic vector NLS equation. Its spectrum covers th…
The number of eigenvalues of discrete Hamiltonian periodic in time
Evgeny Korotyaev
We consider time periodic Hamiltonian on periodic graphs and estimate the number of its quasi-energy eigenvalues on the finite interval.
Spectral theory for periodic vector NLS equations
Evgeny Korotyaev
We consider a first order operator with a periodic 3x3 matrix potential on the real line. This operator appears in the problem of the periodic vector NLS equation. The spectrum of…
Asymptotics of the divisor for the good Boussinesq equation
Andrey Badanin, Evgeny Korotyaev
We consider a third order operator under the three-point Dirichlet condition. Its spectrum is the so-called auxiliary spectrum for the good Boussinesq equation, as well as the Diri…