This article is cited in 2 papers

Brief communications

Absence of Conductivity-Type Solitons for the Novikov–Veselov Equation at Zero Energy

A. V. Kazeykina

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: It is proved that the Novikov–Veselov equation (an analogue of the KdV equation in dimension $2+1$) at zero energy does not have sufficiently localized soliton solutions of conductivity type.

Keywords: Novikov–Veselov equation, solitons, two-dimensional Schrödinger equation, potentials of conductivity type.

UDC: 517.95

Received: 28.06.2011

DOI: 10.4213/faa3100

 English version: Functional Analysis and Its Applications, 2013, 47:1, 64–66

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