A discrete analogue of the modified Novikov-Veselov hierarchy

Details A discrete analogue of the modified Novikov-Veselov hierarchy A discrete analogue of the modified Novikov-Veselov hierarchy

2009-04-23

arxiv.org/abs/0904.3728v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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