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

Abstract

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

Cited by in corpus (1)

• The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation via the Moutard symmetries