6 papers · 1 filter
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…
Inverse problem for 3-rd order operators under the 3-point Dirichlet conditions
Andrey Badanin, Evgeny Korotyaev
We solve an inverse problem for a third order differential operator under the 3-point Dirichlet conditions. The third-order operator is an -operator in the Lax pair for the good…
Inverse problem for the L-operator in the Lax Pair of the Boussinesq equation on the circle
Andrey Badanin, Evgeny Korotyaev
We consider a third-order non-self-adjoint operator, which is an -operator in the Lax pair for the Boussinesq equation on the circle. We construct a mapping from the set of oper…
Mc'Kean's transformation for 3-rd order operators
Andrey Badanin, Evgeny Korotyaev
We consider a non-self-adjoint third order operator with 1-periodic coefficients . This operator is the L-operator in the Lax pair for the good Boussinesq e…