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arxiv: 1106.5639 · v2 · pith:KKJ6Y6KOnew · submitted 2011-06-28 · 🧮 math-ph · math.AP· math.MP

Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy

classification 🧮 math-ph math.APmath.MP
keywords conductivityenergynovikov-veselovsolutionstypezeroabsenceanalog
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We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.

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