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nlin.SI2000★ 4 cited
On Psi-function for finite-gap potentials
N. V. Ustinov, Yu. V. Brezhnev
A way to derive an explicit formulae in terms of the potentials, if they are finite-gap, for the solutions of spectral problems and corresponding algebraic curves is presented.
nlin.SI2000★ 9 cited
Elliptic Solitons and Groebner Bases
Yurii V. Brezhnev
We consider the solution of spectral problems with elliptic coefficients in the framework of the Hermite ansatz. We show that the search for exactly solvable potentials and their s…