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arXiv · 1201.2758

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

Anna Kazeykina
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Abstract

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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Anna Kazeykina. 2012-10-10. Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy. https://arxiv.org/abs/1201.2758

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