Absence of conductivity-type solitons for the Novikov-Veselov equation at zero energy
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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.
Key wordsNovikov-Veselov equation solitons two-dimensional Schrödinger equation potentials of conductivity type
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- R. G. Novikov, Funkts. Anal. Prilozhen., 22:4 (1988), 11–22; English transl.: Functs. Anal. Appl., 22 (1988), 263–272.Google Scholar