Solitonic interactions and explicit solutions for the (2+1)-dimensional nonlocal derivative nonlinear Schrödinger equation

The ( 2 + 1 ) -dimensional nonlocal derivative nonlinear Schrödinger equation, correlated with Lax pair involving partial reverse space–time symmetric potential, is investigated in this paper. The special eigenfunctions of spectral problem are required to ensure the validity of the nonlocal reduction conditions. In view of Darboux transformation method and different seed solutions, some explicit solutions are derived for the reduced system. As its applications, periodic waves, breathers, dark solitons, anti-dark solitons, shock wave, interactions and parallel propagations of the above waves are plotted to distinguish different parameter values. By taking limit technology and Taylor expansion, the N -order generalized Darboux transformation, multi-line waves and multi-parabola waves solutions are obtained. Compared with local ones, the nonlocal equations possess more plentiful pattern dynamics for the waves as it should take nonlocal term and local terms into account rather than just local terms. These interesting results may be useful for future experimental study.