| 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. |
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