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math-ph2011
Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy
Anna Kazeykina
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.
math.AP2011★ 16 cited
A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
Anna Kazeykina
In the present paper we are concerned with the Novikov--Veselov equation at negative energy, i.e. with the --dimensional analog of the KdV equation integrable by the met…