  The (2+1)-dimensional [(2+1)d] Fokas system is a natural and simple extension
of the nonlinear Schrodinger equation. (see eq. (2) in A. S. Fokas, Inverse
Probl. 10 (1994) L19-L22). In this letter, we introduce its PT -symmetric
version, which is called the (2 + 1)d nonlocal Fokas system. The N-soliton
solutions for this system are obtained by using the Hirota bilinear method
whereas the semi-rational solutions are generated by taking the long-wave limit
of a part of exponential functions in the general expression of the N-soliton
solution. Three kinds of semi-rational solutions, namely (1) a hybrid of rogue
waves and periodic line waves, (2) a hybrid of lump and breather solutions, and
(3) a hybrid of lump, breather, and periodic line waves are put forward and
their rather complicated dynamics is revealed.
