Finite-gap solutions of the modified Novikov-Veselov equations: their spectral properties and applications

2002/11/19 by I. A. Taimanov
Physics and Astronomy · Mathematics · #math-ph #math.DG #math.MP

paper · pdf

published as Siberian Math. Journal 40 (1999), 1146-1156 · LaTeX, 14 pages

arxiv created 2002/11/19 · arxiv updated 2009/11/30

Abstract

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 explain its relation to soliton deformations of tori and the Willmore conjecture.

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