Abstract
Three-dimensional self-gravito-acoustic solitary waves (SGASWs) in a general (but realistic) self-gravitating degenerate quantum plasma media consisting of heavy nuclei/elements and degenerate electrons are studied. The reductive perturbation method, which is valid for small but finite amplitude SGASWs, is employed to derive the (3+1)-dimensional cylindrical Korteweg–de Vries (cKdV) equation (also known as cylindrical Kadomtsev–Petviashvili equation). To show the parametric regime corresponding to the existence of the localized SGASWs the energy integral equation, which is derived from cKdV equation, is used. Moreover, the effects of the physical parameters on the SGASWs are discussed. The implication of our results for space and laboratory plasmas is briefly discussed.
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