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A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
large time asymptotics the Cauchy problem non-singular scattering data Analysis of PDEs
2011/8/26
Abstract: In the present 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 inver...
The Gould-Hopper Polynomials in the Novikov-Veselov equation
Gould-Hopper Polynomials Novikov-Veselov equation
2010/11/10
We use the Gould-Hopper (GH) polynomials to investigate the Novikov-Veselov (NV) equation. The root dynamics of the $\sigma$-flow in the NV equation is studied using the GH polynomials and then the L...