Abstract
We construct a discrete analogue of the integrable two-dimensional Dirac operator and describe the spectral properties of its eigenfunctions. We construct an integrable discrete analogue of the modified Novikov-Veselov hierarchy. We derive the first two equations of the hierarchy and give explicit formulas for the eigenfunctions in terms of the theta functions of the associated spectral curve.
Original language | English |
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Pages (from-to) | 3463-3488 |
Number of pages | 26 |
Journal | International Mathematics Research Notices |
Volume | 2010 |
Issue number | 18 |
DOIs | |
State | Published - 2010 |