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

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

2012-01-13

arxiv.org/abs/1201.2758v1

Mathematics

Analysis of PDEs

Scientific paper

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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