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math-ph2004★ 1 cited
Finite gap theory of the Clifford torus
I. A. Taimanov
We construct the spectral curve and the Baker--Akhiezer function for the Dirac operator which corresponds to the Clifford torus via the Weierstrass representation. By constructing…
math-ph2002★ 4 cited
On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves
I. A. Taimanov
We describe two-dimensional potential Schrodinger and Dirac operators which are finite-gap at one energy level and have singular spectral curves. It appears that the singularities…
math-ph2002
Finite-gap solutions of the modified Novikov-Veselov equations: their spectral properties and applications
I. A. Taimanov
We construct finite-gap solutions to the modified Novikov-Veselov equations, describe their spectral properties and the reduction to the modified Korteweg--de Vries equation and ex…