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

Anna Kazeykina (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Anna Kazeykina. Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy. 2012. ⟨hal-00659483v2⟩