Finite-gap solutions of the modified Novikov-Veselov equations: their spectral properties and applications
classification
🧮 math-ph
math.DGmath.MP
keywords
modifiedequationsfinite-gapnovikov-veselovpropertiessolutionsspectralapplications
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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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