24 citations · 84 across the 13 of their papers we have counts for
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math.AP2010★ 9 cited
Large time asymptotics for the Grinevich-Zakharov potentials
Anna Kazeykina, Roman Novikov
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 di…
math.AP2010★ 14 cited
A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy
Anna Kazeykina, Roman Novikov
In the present paper we begin studies on the large time asymptotic behavior for solutions of the Cauchy problem for the Novikov--Veselov equation (an analog of KdV in 2 + 1 dimensi…
math.AP2010★ 24 cited
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
Roman Novikov
In this note we show that the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) has no exponentially localized solitons ( in the two-dimensional sens…