Large time asymptotics for the Grinevich-Zakharov potentials
Analysis of PDEs
2011-05-23 v2 Mathematical Physics
math.MP
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).
Cite
@article{arxiv.1011.4038,
title = {Large time asymptotics for the Grinevich-Zakharov potentials},
author = {Anna Kazeykina and Roman Novikov},
journal= {arXiv preprint arXiv:1011.4038},
year = {2011}
}