| NLBWs | nonlinear Bloch waves |
| LBWs | linear Bloch waves |
| BZ | Brillouin zone |
| BECs | Bose-Einstein condensates |
| NLSE | nonlinear Shrödinger equation |
| GPE | Gross-Pitaevskii equation |
| FSE | fractional Schrödinger equation |
| FGSs | fundamental gap solitons |
| NLFSE | nonlinear fractional Schrödinger equation |
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