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

Shiping Zhong
2018 Journal of Nonlinear Science and its Applications  
This paper shows that soliton solutions to the nonlocal nonlinear Schrödinger 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.
doi:10.22436/jnsa.012.02.02 fatcat:k2hani76p5eubn4menml3y77pe