We use the inverse scattering method to solve the zero-energy Novikov–Veselov (NV)
equation for initial data of conductivity type, solving a problem posed by Lassas, Mueller …

This paper focuses on the Dysthe equation which is a higher order approximation of the
water waves system in the modulation (Schrödinger) regime and in the infinite depth case …

Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is
reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy case …

Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation
Page 1 Nonlinearity PAPER Numerical study of blow-up and stability of line solitons for the …

We consider the Cauchy problem for the two-dimensional Novikov–Veselov equation
integrable via the inverse scattering problem for the Schrödinger operator with fixed …

Using the inverse scattering method, we construct global solutions to the Novikov–Veselov
equation for real-valued decaying initial data q 0 with the property that the associated …

We continue our study on the Cauchy problem for the two-dimensional Novikov–Veselov
(NV) equation, integrable via the inverse scattering transform for the two dimensional …

The initial value problem for the zero energy Novikov–Veselov equation is investigated by
the Fourier restriction norm method. Local well-posedness is shown in the nonperiodic case …

In this paper we will use inverse scattering methods to solve the Novikov–Veselov (NV)
equation, a completely integrable, dispersive nonlinear equation in two space and one time …

For certain initial data, we solve the Novikov-Veselov equation by the inverse scat-tering
method. This is a (2+ 1)-dimensional completely integrable system that gen-eralizes the (1+ …