1201.2758 (Anna Kazeykina)

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

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 O(|x|^{-3}) as |x| \to \infty.

View original: http://arxiv.org/abs/1201.2758