Abstract
In this Letter, we present an analytical discussion about the propagation properties of the Pearcey Gaussian vortex electron plasma (PGVEP) wave in an unmagnetized, collision-free plasma. Specifically, we examine the intensity, potential, energy flow density, and angular momentum density of the wave. Our findings reveal that the PGVEP wave exhibits the property of self-focusing, and intriguingly, it also demonstrates self-acceleration. Furthermore, we investigate the influence of the topological charge on the aforementioned propagation characteristics, considering the cases when the charge is n = 1 and n = 2, respectively.
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