Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

Mark J. Ablowitz, Xu-Dan Luo, Ziad H. Musslimani

In 2013 a new nonlocal symmetry reduction of the well-known AKNS scattering problem was found; it was shown to give rise to a new nonlocal $PT$ symmetric and integrable Hamiltonian…