Cylindrical nebulons, symbolic computation and Bäcklund transformation for the cosmic dust acoustic waves

In a cosmic dusty plasma, the dust-acoustic-wave propagation may be described by a cylindrical Kadomtsev-Petviashvili equation. In this Letter, for such modeling of environments like supernova shells, Saturn’s F-ring, etc., cylindrical nebulons and an auto-Backlund transformation are presented via symbolic computation. Nebulon structures are discussed, and possibly observable effects are proposed for cosmic plasmas.

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