Absence of sufficiently localized traveling wave solutions for the Novikov-Veselov equation at zero energy
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math-phmath.MP
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energyequationzeroabsenceanalogdemonstratedimensionallocalization
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We demonstrate that the Novikov.Veselov equation (a (2+1)-dimensional analog of KdV) at zero energy does not possess solitons with the space localization stronger than O(|x|^{-4}).
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