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.

References in corpus (2)

• Transparent Potentials at Fixed Energy in Dimension Two. Fixed-Energy Dispersion Relations for the Fast Decaying Potentials
• Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy

Cited by in corpus (4)

• Miura Maps and Inverse Scattering for the Novikov-Veselov Equation
• Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
• A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
• The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation via the Moutard symmetries