Quasi-periodic and chaotic structure of Alfven waves in a plasma containing double spectral distributed electrons

The nonlinear characteristics of Alfve?n waves in a plasma medium composed of double spectral electron distribution and positive and negative ions are investigated. A Korteweg-de Vries (KdV-type) equation is derived using the reductive perturbation technique. The periodic and soliton structures are investigated. The effects of the two spectral indices r and q on the produced periodic structures are studied. It is found that the amplitude of the rarefactive periodic wave increases by increasing the values of r and q. Some external perturbation intruders on the system are considered, and the quasi periodic and chaotic structures of Alfven waves are discussed. It is found that by decreasing the values of beta_ (knowing that beta known as the ratio of kinetic to magnetic pressures), the periodic structure is converted gradually into chaotic structure passing through the quasi-periodic one. The results of this study are helpful in describing the behavior of the Alfvenic structure of periodic waves and other related events in the ionosphere region.

Automated summary

This study investigates the nonlinear characteristics of Alfve?n waves in a plasma medium composed of double spectral electron distribution and positive and negative ions, deriving a Korteweg-de Vries (KdV-type) equation and exploring periodic and soliton structures. The effects of spectral indices r and q on periodic structures are studied, with findings indicating an increase in amplitude of rarefactive periodic waves with higher r and q values. Additionally, external perturbations are considered, leading to discussions on quasi-periodic and chaotic structures of Alfven waves. It is observed that decreasing the beta value gradually shifts periodic structures to chaotic structures via quasi-periodic ones.