A motion of complex curves in C^3 and the nonlocal nonlinear Schrodinger equation

This paper shows that soliton solutions to the nonlocal nonlinear Schrodinger equation (NNLS) proposed recently by Ablowitz and Musslimani [M. J. Ablowitz, Z. H. Musslimani, Phys. Rev. Lett., 110 (2013), 5 pages] describe a motion of three distinct complex curves in C^3 with initial data being suitably restricted. This gives a geometric interpretation of NNLS.