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arxiv: 1011.4038 · v2 · pith:DFRW7OHLnew · submitted 2010-11-17 · 🧮 math.AP · math-ph· math.MP

Large time asymptotics for the Grinevich-Zakharov potentials

classification 🧮 math.AP math-phmath.MP
keywords asymptoticsgrinevich-zakharovlargetimeanalogarticledimensionsenergy
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In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).

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