Nonlinear Structures of Dispersive Electrostatic Solitary Waves in a Multi-Ion Partially Ionized Plasma

The nonlinear structure and dynamics of dispersive solitons and breather waves described by Korteweg-de Vries and nonlinear Schr & ouml;dinger equations are studied. The theoretical and numerical study of the generalized hydrodynamic equations, accounting for wave dissipation and particle production-loss mechanism, are considered. The reductive expansion method has been used in the context of the instability problem of multi-fluid dynamics, applied to the study of electrostatic solitons and ion-acoustic waves. A nonlocal model of interacting solitary-breather waves has been presented. Applications of the theory, concerning the ion streaming instability in the framework of plasma physics, are presented.