Prefer a chat interface with context about you and your work?
Examples of solving the inverse scattering problem and the equations of the Veselov-Novikov hierarchy from the scattering data of point potentials
We consider the inverse scattering problem for the two-dimensional Schrodinger equation at fixed positive energy. Our results include inverse scattering reconstructions from the simplest scattering amplitudes. In particular, we give a complete analytic solution of the phased and phaseless inverse scattering problems for the single-point potentials (of the Bethe-Peierls-Fermi-Zeldovich-Berezin-Faddeev type). …