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Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy

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Functional Analysis and Its Applications Aims and scope

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| →∞.

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Authors and Affiliations

  1. Ecole Polytechnique, Moscow State University CMAP, Moscow, France

    A. V. Kazeykina

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 48, No. 1, pp. 30–45, 2014

Original Russian Text Copyright © by A. V. Kazeykina

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Kazeykina, A.V. Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy. Funct Anal Its Appl 48, 24–35 (2014). https://doi.org/10.1007/s10688-014-0043-2

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