Latif, Mohamed S. AbdelBaleanu, DumitruKader, Abass H. Abdel2022-12-152025-09-182022-12-152025-09-182022Kader, Abass H. Abdel; Latif, Mohamed S. Abdel; Baleanu, Dumitru (2022). "Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative", Brazilian Journal of Physics, Vol. 52, No. 1.0103-97331678-4448https://doi.org/10.1007/s13538-021-01015-1https://hdl.handle.net/20.500.12416/11458Abdel Kader, Abass/0000-0002-9658-1430; Abdel Latif, Mohamed/0000-0002-9013-1017In this paper, a generalized quasi-1D Bose-Einstein condensate system with contact repulsion and dipole-dipole attraction (QBECS) and with the local M-derivative of order alpha is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coefficients under certain conditions. Finally, the travelling wave transformation is used for getting rogue waves and soliton solutions for the original equation. The effect of the fractional order alpha on the wave profile is discussed using some figures.eninfo:eu-repo/semantics/closedAccessLocal M-DerivativeBose-Einstein Condensate SystemSimilarity Transformation MethodRogue WavesSolitonsArticle10.1007/s13538-021-01015-1