Large time asymptotics for the Grinevich-Zakharov potentials

Abstract

In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).

References in corpus (2)

• Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
• On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity

Cited by in corpus (3)

• Miura Maps and Inverse Scattering for the Novikov-Veselov Equation
• A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
• Numerical study of blow-up and stability of line solitons for the Novikov-Veselov equation