2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57210We 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.LaTeX, 14 pagesMathematical PhysicsDifferential GeometryFinite-gap solutions of the modified Novikov-Veselov equations: their spectral properties and applicationstext