5 papers · 1 filter
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…
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…