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

Physics – Mathematical Physics

Scientific paper

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LaTeX, 14 pages

Scientific paper

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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