Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy

Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

In this note we show that the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) has no exponentially localized solitons ( in the two-dimensional sense).

Mots clés: KdV in 2+1 dimensions; Manakov-Novikov-Veselov equation; Solitons

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

Roman Novikov. Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy. 2010. ⟨hal-00523343v3⟩