Journal
IEEE TRANSACTIONS ON PLASMA SCIENCE
Volume 50, Issue 6, Pages 1495-1507Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPS.2022.3166694
Keywords
Plasmas; Mathematical models; Dynamical systems; Bifurcation; Plasma temperature; Perturbation methods; Laser stability; Bifurcation analysis; chaos; dynamical systems; electron acoustics wave; multistability; quantum hydrodynamic (QHD) model
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This study investigates electron acoustic waves in relativistic degenerate plasma by analyzing quantum hydrodynamic model and nonlinear Schrodinger equation. Bifurcation analysis and dynamical system studies are conducted to identify stability regime and chaotic scenario. The research is significant for theoretically predicting stable modes in solar plasma, stellar plasma, and laser plasma in the future.
Bifurcation analysis and dynamical system studies are carried out to find the stability regime and chaotic scenario in electron acoustic waves in relativistic degenerate plasma. We have obtained the quantum hydrodynamic model and obtain the Korteweg-de Vries equation describing the nature and characteristics of solitary structures. The amplitude modulated envelop soliton formation due to external perturbations has been studied by analyzing the nonlinear Schrodinger equation. Further to study the stability factors and the parametric range for such stability, the dynamical system is studied and bifurcation analysis has been carried out. The chaotic behavior of the system is studied through largest Lyapunov exponent (LLE). This work will find application in theoretically predicting the stable modes in many solar plasma and stellar plasma applications and in laser plasma in future.
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