Geodesic
Absence of Solitons with Sufficient Algebraic Localization for the Novikov--Veselov Equation at Nonzero Energy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 30-45

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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. 
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     author = {A. V. Kazeykina},
     title = {Absence of {Solitons} with {Sufficient} {Algebraic} {Localization} for the {Novikov--Veselov} {Equation} at {Nonzero} {Energy}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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A. V. Kazeykina. Absence of Solitons with Sufficient Algebraic Localization for the Novikov--Veselov Equation at Nonzero Energy. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 30-45. http://geodesic.mathdoc.fr/item/FAA_2014_48_1_a2/