Evolution of Solitary Wave in a Collisionless Quantized Magneto-Plasma with Ion Pressure Anisotropy

Abstract

TThis paper presents a comprehensive study in a collisionless plasma composed of charged state of heavy positive ion and light positive as wel as negative ion. By deriving the Korteweg-de Vries (KdV) equation and by using its standard solution we analyze the characteristics of the solitary profile under varying parameters. We found that the solution gives both rarefactive and compressive soliton. The compressive structures are formed for the slow mode, while rarefactive solitary structures are formed for the fast mode. Furthermore, with the application of planar dynamical systems bifurcation theory, the phase portraits have been analyzed. This dynamical system analysis allowed us to extract important information on the stability of these structures as represented by the KdV equation.

Keywords

• KdV Equation
• Solitary Wave
• Quantum Plasma
• Dynamical System
• Reductive perturbation method
• Pressure Anisotropy