19 citations · 21 across the 2 of their papers we have counts for
4 papers
Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering
Michael Music, Peter A. Perry
Using the inverse scattering method, we construct global solutions to the Novikov-Veselov equation for real-valued decaying initial data q with the property that the associated Sch…
The Novikov-Veselov Equation: Theory and Computation
Ryan Croke, Jennifer L Mueller, Michael Music +3
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 cas…
The nonlinear Fourier transform for two-dimensional subcritical potentials
Michael Music
The inverse scattering method for the Novikov-Veselov equation is studied for a larger class of Schrödinger potentials than could be handled previously. Previous work concerns so-c…
Exceptional circles of radial potentials
Michael Music, Peter Perry, Samuli Siltanen
A nonlinear scattering transform is studied for the two-dimensional Schrodinger equation at zero energy with a radial potential. First explicit examples are presented, both theoret…