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Based on the theory of coherence,the model of multi-Gaussian Schell-model (MGSM) beams carrying an edge dislocation generated by the MGSM source is introduced.The analytical cross-spectral density of MGSM beams carrying an edge dislocation propagating in oceanic turbulence is derived,and used to study the evolution properties of the MGSM beams carrying an edge dislocation.The results indicate that the MGSM beam carrying an edge dislocation propagating in oceanic turbulence will evolve from the profile with two intensity peaks into a flat-topped beam caused by the MGSM source,and the beam will evolve into the Gaussian-like beam due to the influences of oceanic turbulence in the far field.As the propagation distance increases,the MGSM beam carrying an edge dislocation propagating in oceanic turbulence with the larger rate of dissipation of mean-squared temperature (xT) and ratio of temperature to salinity contribution to the refractive index spectrum ((ζ)) or the smaller rate of dissipation of kinetic energy per unit mass of fluid (e) evolves into the flat-topped beam or a Gaussian beam faster.