Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy

Anna Kazeykina (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.

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

Anna Kazeykina. Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy. 2011. ⟨hal-00603403v2⟩