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20102026
most citedAbsence of exponentially localized solitons for the Novikov-Veselov equation at positive energy

24 citations · 84 across the 13 of their papers we have counts for

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math.AP2012

Absence of sufficiently localized traveling wave solutions for the Novikov-Veselov equation at zero energy

Anna Kazeykina

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}).

math.AP2012

Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy

Anna Kazeykina

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…