Absence of exponentially localized solitons for the Novikov--Veselov equation at negative energy

arxiv: 1102.0692 · v1 · pith:KK5VACSHnew · submitted 2011-02-03 · 🧮 math-ph · math.AP· math.MP

Anna Kazeykina (CMAP) , Roman Novikov (CMAP) This is my paper

classification 🧮 math-ph math.APmath.MP

keywords energyequationexponentiallylocalizednegativenovikov--veselovsolitonsabsence

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We show that Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

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