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

Anna Kazeykina (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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}).

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

Anna Kazeykina. Absence of sufficiently localized traveling wave solutions for the Novikov-Veselov equation at zero energy. 2012. ⟨hal-00707521⟩