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

A. V. Kazeykina

Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 30-45.

Résumé

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 $|x|\to\infty$.

Détail

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

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