Higher-order shock wave structures and phase plane analysis in multicomponent dusty plasma

Rajneet Kaur; Geetika Slathia; N. S. Saini

doi:10.1209/0295-5075/acc206

Higher-order shock wave structures and phase plane analysis in multicomponent dusty plasma

Rajneet Kaur, Geetika Slathia, N. S. Saini

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2 Scopus citations

Abstract

In this investigation, dust acoustic (DA) shocks and dressed shocks formed due to the contribution of higher-order effects in a non-Maxwellian plasma have been examined. The reductive perturbation method is employed to derive the nonlinear Burgers and Burgers-type inhomogeneous equations with the contribution of higher-order effects of nonlinearity and dissipation. The properties of dust acoustic shocks and higher order (dressed shocks) are examined from the solutions of these nonlinear equations under the effect of various plasma parameters. Furthermore, the travelling wave analysis is used to obtain the dynamical system for the Burgers equation using bifurcation theory. The characteristic properties of DA periodic waves have also been analysed under the influence of various plasma parameters.

Original language	English
Article number	63001
Journal	EPL
Volume	141
Issue number	6
DOIs	https://doi.org/10.1209/0295-5075/acc206
State	Published - Mar 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. 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	CRG/2019/003988

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abstract = "In this investigation, dust acoustic (DA) shocks and dressed shocks formed due to the contribution of higher-order effects in a non-Maxwellian plasma have been examined. The reductive perturbation method is employed to derive the nonlinear Burgers and Burgers-type inhomogeneous equations with the contribution of higher-order effects of nonlinearity and dissipation. The properties of dust acoustic shocks and higher order (dressed shocks) are examined from the solutions of these nonlinear equations under the effect of various plasma parameters. Furthermore, the travelling wave analysis is used to obtain the dynamical system for the Burgers equation using bifurcation theory. The characteristic properties of DA periodic waves have also been analysed under the influence of various plasma parameters.",

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N2 - In this investigation, dust acoustic (DA) shocks and dressed shocks formed due to the contribution of higher-order effects in a non-Maxwellian plasma have been examined. The reductive perturbation method is employed to derive the nonlinear Burgers and Burgers-type inhomogeneous equations with the contribution of higher-order effects of nonlinearity and dissipation. The properties of dust acoustic shocks and higher order (dressed shocks) are examined from the solutions of these nonlinear equations under the effect of various plasma parameters. Furthermore, the travelling wave analysis is used to obtain the dynamical system for the Burgers equation using bifurcation theory. The characteristic properties of DA periodic waves have also been analysed under the influence of various plasma parameters.

AB - In this investigation, dust acoustic (DA) shocks and dressed shocks formed due to the contribution of higher-order effects in a non-Maxwellian plasma have been examined. The reductive perturbation method is employed to derive the nonlinear Burgers and Burgers-type inhomogeneous equations with the contribution of higher-order effects of nonlinearity and dissipation. The properties of dust acoustic shocks and higher order (dressed shocks) are examined from the solutions of these nonlinear equations under the effect of various plasma parameters. Furthermore, the travelling wave analysis is used to obtain the dynamical system for the Burgers equation using bifurcation theory. The characteristic properties of DA periodic waves have also been analysed under the influence of various plasma parameters.

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Higher-order shock wave structures and phase plane analysis in multicomponent dusty plasma

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