Bifurcation analysis of ion-acoustic superperiodic waves in ultra-relativistic dense plasma

Bifurcation analysis of ion-acoustic solitary, periodic and superperiodic waves in ultra-relativistic quantum degenerate electron-positron-ion plasma is investigated based on Sagdeev’s pseudopotential approach. The phase plane plots for the superperiodic, periodic, and homoclinic trajectories for th...

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Bibliographic Details
Published inZeitschrift für Naturforschung. A, A journal of physical sciences Vol. 78; no. 10; pp. 881 - 891
Main Authors El-Labany, Salah K., Selim, Mustafa M., Habbak, Enas L., El-Shamy, Emad F.
Format Journal Article
LanguageEnglish
Published De Gruyter 26.10.2023
Subjects
bifurcation analysis
Sagdeev’s pseudopotential approach
superperiodic waves
ultrarelativistic degenerate plasma
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Summary:Bifurcation analysis of ion-acoustic solitary, periodic and superperiodic waves in ultra-relativistic quantum degenerate electron-positron-ion plasma is investigated based on Sagdeev’s pseudopotential approach. The phase plane plots for the superperiodic, periodic, and homoclinic trajectories for the dynamical system are developed. Rarefactive and compressive solitary waves are demonstrated to exist. The influence of plasma parameters on the characteristic properties of the periodic and superperiodic waves is studied. Also, the effect of different plasma parameters on the Sagdeev pseudopotential profile is investigated. The results of this study may be used to shed light on the fundamental properties of nonlinear waves in dense objects (e.g., white dwarfs and neutron stars). These results also may be beneficial in describing laboratory plasma (e.g., interaction experiments of intense laser-solid matter), and plasma applications such as microelectronic devices.
ISSN:0932-0784
1865-7109
DOI:10.1515/zna-2022-0248