A large-time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data

作者：Kazeykina A V^*

来源：Inverse Problems, 2012, 28(5): 055017.

DOI：10.1088/0266-5611/28/5/055017

In this paper we are concerned with the Novikov-Veselov equation at negative energy, i.e. with the (2+1)-dimensional analog of the KdV equation integrable by the method of inverse scattering for the two-dimensional Schrodinger equation at negative energy. We show that the solution of the Cauchy problem for this equation with non-singular scattering data behaves asymptotically as t(const/3/4) in the uniform norm at large times, t. We also prove that this asymptotics is optimal.

• 出版日期2012-5