Effect of Plasma-β on Magnetosonic Solitons in Earth’s Magnetosphere

S. Singla; M. Kaur; G. Slathia; N. S. Saini

doi:10.1134/S1063780X22700374

Effect of Plasma-β on Magnetosonic Solitons in Earth’s Magnetosphere

S. Singla, M. Kaur, G. Slathia, N. S. Saini

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

1 Scopus citations

Abstract

Abstract: A theoretical investigation is made to study the properties of dust-magnetosonic (DMS) solitons in a magnetized electron-depleted dusty plasma that contains opposite polarity warm dust grains, and inertial ions. By using reductive perturbation technique (RPT), the Korteweg–de Vries (KdV) equation is derived. There is the formation of only positive potential DMS solitons in the high plasma-β limit. The effects of plasma parameter, viz., plasma-β on the characteristics of DMS solitons are also studied numerically. The KdV equation is converted into planar dynamical systems using the Galilean transformation. Small-amplitude Sagdeev’s pseudopotential curve and a phase portrait of the dynamical system have been used to characterize it. Periodic waves in homoclinic and periodic orbits in phase pictures are also examined in further relation to various plasma properties. The findings of the present investigation may be helpful in describing the characteristics of various nonlinear excitations in Earth’s magnetosphere.

Original language	English
Pages (from-to)	114-119
Number of pages	6
Journal	Plasma Physics Reports
Volume	49
Issue number	1
DOIs	https://doi.org/10.1134/S1063780X22700374
State	Published - Jan 2023
Externally published	Yes

Funding

Authors gratefully acknowledge the support for this research work from Department of Science and Technology, Govt. of India, New Delhi under DST-SERB project no. CRG/2019/003988.

Funders	Funder number
Department of Science and Technology, Ministry of Science and Technology, India

Keywords

Sagdeev’s pseudopotential
dust acoustic
magnetosonic
solitons

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title = "Effect of Plasma-β on Magnetosonic Solitons in Earth{\textquoteright}s Magnetosphere",

abstract = "Abstract: A theoretical investigation is made to study the properties of dust-magnetosonic (DMS) solitons in a magnetized electron-depleted dusty plasma that contains opposite polarity warm dust grains, and inertial ions. By using reductive perturbation technique (RPT), the Korteweg–de Vries (KdV) equation is derived. There is the formation of only positive potential DMS solitons in the high plasma-β limit. The effects of plasma parameter, viz., plasma-β on the characteristics of DMS solitons are also studied numerically. The KdV equation is converted into planar dynamical systems using the Galilean transformation. Small-amplitude Sagdeev{\textquoteright}s pseudopotential curve and a phase portrait of the dynamical system have been used to characterize it. Periodic waves in homoclinic and periodic orbits in phase pictures are also examined in further relation to various plasma properties. The findings of the present investigation may be helpful in describing the characteristics of various nonlinear excitations in Earth{\textquoteright}s magnetosphere.",

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doi = "10.1134/S1063780X22700374",

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AU - Singla, S.

AU - Kaur, M.

AU - Slathia, G.

AU - Saini, N. S.

PY - 2023/1

Y1 - 2023/1

N2 - Abstract: A theoretical investigation is made to study the properties of dust-magnetosonic (DMS) solitons in a magnetized electron-depleted dusty plasma that contains opposite polarity warm dust grains, and inertial ions. By using reductive perturbation technique (RPT), the Korteweg–de Vries (KdV) equation is derived. There is the formation of only positive potential DMS solitons in the high plasma-β limit. The effects of plasma parameter, viz., plasma-β on the characteristics of DMS solitons are also studied numerically. The KdV equation is converted into planar dynamical systems using the Galilean transformation. Small-amplitude Sagdeev’s pseudopotential curve and a phase portrait of the dynamical system have been used to characterize it. Periodic waves in homoclinic and periodic orbits in phase pictures are also examined in further relation to various plasma properties. The findings of the present investigation may be helpful in describing the characteristics of various nonlinear excitations in Earth’s magnetosphere.

AB - Abstract: A theoretical investigation is made to study the properties of dust-magnetosonic (DMS) solitons in a magnetized electron-depleted dusty plasma that contains opposite polarity warm dust grains, and inertial ions. By using reductive perturbation technique (RPT), the Korteweg–de Vries (KdV) equation is derived. There is the formation of only positive potential DMS solitons in the high plasma-β limit. The effects of plasma parameter, viz., plasma-β on the characteristics of DMS solitons are also studied numerically. The KdV equation is converted into planar dynamical systems using the Galilean transformation. Small-amplitude Sagdeev’s pseudopotential curve and a phase portrait of the dynamical system have been used to characterize it. Periodic waves in homoclinic and periodic orbits in phase pictures are also examined in further relation to various plasma properties. The findings of the present investigation may be helpful in describing the characteristics of various nonlinear excitations in Earth’s magnetosphere.

KW - Sagdeev’s pseudopotential

KW - dust acoustic

KW - magnetosonic

KW - solitons

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JF - Plasma Physics Reports

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Effect of Plasma-β on Magnetosonic Solitons in Earth’s Magnetosphere

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Keywords

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