Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy
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equationlocalizationsolitonsabsencealgebraicanalogdimensionenergies
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We show that the Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) at positive and negative energies does not have solitons with the space localization stronger than O(|x|^{-3}) as |x| \to \infty.
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