A. V. Kazeykina, “Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy”, Funktsional. Anal. i Prilozhen., 2014, Volume 48, Issue 1,Pages <nobr>30

This article is cited in 5 papers

Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy

A. V. Kazeykina^ab

^a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b École Polytechnique, Centre de Mathématiques Appliquées

Abstract: It is shown that the Novikov–Veselov equation (an analogue of the KdV equation in dimension $2+1$) at positive and negative energies does not have solitons with space localization stronger than $O(|x|^{-3})$ as $|x|\to\infty$.

Keywords: traveling wave, localized soliton, Novikov–Veselov equation.

UDC: 517.95

Received: 02.01.2012

DOI: 10.4213/faa3133