The exact solutions for the nonlocal Kundu-NLS equation by the inverse scattering transform

In this paper, we mainly investigate soliton solutions for the nonlocal Kundu-nonlinear Schrodinger (KunduNLS) equation by the inverse scattering transform. The inverse scattering transform and scattering data are studied through a symmetry reduction r(x, t) = q*(-x, t). Then we can derive the exact solutions by Gelfand- Levitan-Marchenko (GLM) equation. Specially, the one-soliton, two-soliton solutions and corresponding graphs of the nonlocal Kundu-NLS equation are given.