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

Anna Kazeykina (1) , Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We show that Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

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

Anna Kazeykina, Roman Novikov. Absence of exponentially localized solitons for the Novikov--Veselov equation at negative energy. Nonlinearity, 2011, 24, pp.1821-1830. ⟨10.1088/0951-7715/24/6/007⟩. ⟨hal-00562533⟩