Special Session 55: 

Inverse scattering transformation for the PT-symmetric Gross-Pitaevskii equations

Dun Zhao
Lanzhou University
Peoples Rep of China
Co-Author(s):    Yu-Juan Zhang, Wen-Xiu Ma
Abstract:
We present the inverse scattering transformation for a kind of Gross-Pitaevskii equations which possess the parity-time (PT ) symmetric invariance. We find that unlike the local case, the PT -symmetry of the nonlocal Gross-Pitaevskii equation allows two different choices of the symmetry relations of the eigenfunctions which guarantee two different kinds of inverse scattering solutions.