Formation of electrostatic solitons, monotonic, and oscillatory shocks in pair-ion plasmas

Abstract

The nonlinear electrostatic structures in homogeneous, unmagnetized pair-ion plasma are studied. The dissipation in the system is taken through kinematic viscosities of both pair-ion species. The one dimensional (Korteweg–de Vries–Burgers) KdVB equation is derived using reductive perturbation method. The analytical solution of KdVB is obtained using tanh method. It is found that solitons and monotonic shocks structures are formed in such type of plasmas depending on the value of dissipation in the system. Both compressive and rarefactive structures of solitons and monotonic shocks are obtained depending on the temperatures of negative and positive ions. The oscillatory shock structure in pair-ion plasmas is obtained and its necessary conditions for formation are discussed. The numerical illustrations of potential structures for different values of dissipation in the system are also shown, which may have some relevance in the future experiments of laboratory produced pair-ion plasmas.