Abstract
Nonlinear electrostatic structures are studied in unmagnetized pair-ion plasmas. The low amplitude solitons and double layer structures are obtained using reductive perturbation method in non-dissipative and ideal plasmas. It is found that both electrostatic potential hump (compressive) and dip (rarefactive) solitons and double layers structures are obtained depending on the temperature ratio between and positive and negative ion species. The Kadomtsev-Petviashvili-Burger (KPB) is also derived by taking into account the weak transverse perturbations and kinematic viscosity of both positive and negative ions plasmas. Both two-dimensional rarefactive and compressive shocks and solitons solutions are obtained using Tan hyperbolic method. The structure dependence on temperature ratios between two ion species is also discussed. The present study may have some relevance for understanding of the formation of electrostatic structure in laboratory produced pair-ion plasmas.
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