Ion acoustic shocks in a weakly relativistic ion-beam degenerate magnetoplasma

Rupinder Kaur; Nareshpal Singh Saini

doi:10.3390/galaxies9030064

Ion acoustic shocks in a weakly relativistic ion-beam degenerate magnetoplasma

Rupinder Kaur, Nareshpal Singh Saini

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A theoretical investigation is carried out to study the propagation properties of ion acoustic shocks in a plasma comprising of positive inertial ions, weakly relativistic ion beam and trapped electrons in the presence of a quantizing magnetic field. By using the reductive perturbation technique, the Korteweg–de Vries-Burgers (KdVB) equation and oscillatory shocks solution are derived. The characteristics of such kinds of shock waves are examined and discussed in detail under suitable conditions for different physical parameters. The strength of the magnetic field, ion beam concentration and ion-beam streaming velocity have a great influence on the amplitude and width of the shock waves and oscillatory shocks. The results may be useful to study the characteristics of ion acoustic shock waves in dense astrophysical regions such as neutron stars.

Original language	English
Article number	64
Journal	Galaxies
Volume	9
Issue number	3
DOIs	https://doi.org/10.3390/galaxies9030064
State	Published - Sep 2021
Externally published	Yes

Funding

Acknowledgments: Rupinder Kaur thanks the Department of Science and Technology (DST) for financial assistance via the DST-Purse initiative. The authors appreciate the Department of Science and Technology, Government of India, New Delhi, for funding this research effort under the DST-SERB project no. CRG/2019/003988.

Funders	Funder number
DST-SERB	CRG/2019/003988
Department of Science and Technology, Ministry of Science and Technology, India

Keywords

KdVB equation
Oscillatory shocks
Reductive perturbation method
Relativistic ion-beam

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abstract = "A theoretical investigation is carried out to study the propagation properties of ion acoustic shocks in a plasma comprising of positive inertial ions, weakly relativistic ion beam and trapped electrons in the presence of a quantizing magnetic field. By using the reductive perturbation technique, the Korteweg–de Vries-Burgers (KdVB) equation and oscillatory shocks solution are derived. The characteristics of such kinds of shock waves are examined and discussed in detail under suitable conditions for different physical parameters. The strength of the magnetic field, ion beam concentration and ion-beam streaming velocity have a great influence on the amplitude and width of the shock waves and oscillatory shocks. The results may be useful to study the characteristics of ion acoustic shock waves in dense astrophysical regions such as neutron stars.",

keywords = "KdVB equation, Oscillatory shocks, Reductive perturbation method, Relativistic ion-beam",

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AU - Saini, Nareshpal Singh

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N2 - A theoretical investigation is carried out to study the propagation properties of ion acoustic shocks in a plasma comprising of positive inertial ions, weakly relativistic ion beam and trapped electrons in the presence of a quantizing magnetic field. By using the reductive perturbation technique, the Korteweg–de Vries-Burgers (KdVB) equation and oscillatory shocks solution are derived. The characteristics of such kinds of shock waves are examined and discussed in detail under suitable conditions for different physical parameters. The strength of the magnetic field, ion beam concentration and ion-beam streaming velocity have a great influence on the amplitude and width of the shock waves and oscillatory shocks. The results may be useful to study the characteristics of ion acoustic shock waves in dense astrophysical regions such as neutron stars.

AB - A theoretical investigation is carried out to study the propagation properties of ion acoustic shocks in a plasma comprising of positive inertial ions, weakly relativistic ion beam and trapped electrons in the presence of a quantizing magnetic field. By using the reductive perturbation technique, the Korteweg–de Vries-Burgers (KdVB) equation and oscillatory shocks solution are derived. The characteristics of such kinds of shock waves are examined and discussed in detail under suitable conditions for different physical parameters. The strength of the magnetic field, ion beam concentration and ion-beam streaming velocity have a great influence on the amplitude and width of the shock waves and oscillatory shocks. The results may be useful to study the characteristics of ion acoustic shock waves in dense astrophysical regions such as neutron stars.

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KW - Oscillatory shocks

KW - Reductive perturbation method

KW - Relativistic ion-beam

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JO - Galaxies

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Ion acoustic shocks in a weakly relativistic ion-beam degenerate magnetoplasma

Abstract

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