Heavy- and light-nuclei acoustic dressed solitons in white dwarfs

Rupinder Kaur; Kuldeep Singh; N. S. Saini

doi:10.1007/s12648-021-02239-2

Heavy- and light-nuclei acoustic dressed solitons in white dwarfs

Rupinder Kaur, Kuldeep Singh, N. S. Saini

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

2 Scopus citations

Abstract

A theoretical investigation has been carried out to examine the evolution of heavy- and light-nuclei acoustic (HLNA) dressed solitons (DSs) due to higher-order contributions of nonlinearity and dispersion effects in a degenerate ultra-relativistic degenerate quantum plasma composed of inertial heavy as well as light nuclei with inertia-less degenerate electrons. The nonlinear Korteweg–de Vries (KdV) equation is derived by using reductive perturbation method. Furthermore, higher-order corrections of nonlinearity and dispersion effects are considered and a linear inhomogeneous KdV-type equation is derived. With the contribution of higher-order effects, a new type of structures with two tails or DSs are formed. The influence of different plasma parameters on the dynamical evolution of the HLNA-DSs is examined. It is observed that insertion of higher-order corrections of nonlinearity and dispersion effects significantly alter the first-order soliton structures into DSs. The findings of present investigation may be applicable to provide a new insight to understand the evolution of HLNA-DSs in different dense astrophysical region.

Original language	English
Pages (from-to)	3331-3339
Number of pages	9
Journal	Indian Journal of Physics
Volume	96
Issue number	11
DOIs	https://doi.org/10.1007/s12648-021-02239-2
State	Published - Sep 2022
Externally published	Yes

Funding

RK acknowledges DST, Govt. of India under DST-Purse scheme for financial support. 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. RK acknowledges DST, Govt. of India under DST-Purse scheme for financial support. 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
DST-Purse
Department of Science and Technology, Ministry of Science and Technology, India	CRG/2019/003988

Keywords

Degenerate electrons
Heavy and light nuclei
KdV equation
Reductive perturbation method
Solitons

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10.1007/s12648-021-02239-2

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title = "Heavy- and light-nuclei acoustic dressed solitons in white dwarfs",

abstract = "A theoretical investigation has been carried out to examine the evolution of heavy- and light-nuclei acoustic (HLNA) dressed solitons (DSs) due to higher-order contributions of nonlinearity and dispersion effects in a degenerate ultra-relativistic degenerate quantum plasma composed of inertial heavy as well as light nuclei with inertia-less degenerate electrons. The nonlinear Korteweg–de Vries (KdV) equation is derived by using reductive perturbation method. Furthermore, higher-order corrections of nonlinearity and dispersion effects are considered and a linear inhomogeneous KdV-type equation is derived. With the contribution of higher-order effects, a new type of structures with two tails or DSs are formed. The influence of different plasma parameters on the dynamical evolution of the HLNA-DSs is examined. It is observed that insertion of higher-order corrections of nonlinearity and dispersion effects significantly alter the first-order soliton structures into DSs. The findings of present investigation may be applicable to provide a new insight to understand the evolution of HLNA-DSs in different dense astrophysical region.",

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T1 - Heavy- and light-nuclei acoustic dressed solitons in white dwarfs

AU - Kaur, Rupinder

AU - Singh, Kuldeep

AU - Saini, N. S.

PY - 2022/9

Y1 - 2022/9

N2 - A theoretical investigation has been carried out to examine the evolution of heavy- and light-nuclei acoustic (HLNA) dressed solitons (DSs) due to higher-order contributions of nonlinearity and dispersion effects in a degenerate ultra-relativistic degenerate quantum plasma composed of inertial heavy as well as light nuclei with inertia-less degenerate electrons. The nonlinear Korteweg–de Vries (KdV) equation is derived by using reductive perturbation method. Furthermore, higher-order corrections of nonlinearity and dispersion effects are considered and a linear inhomogeneous KdV-type equation is derived. With the contribution of higher-order effects, a new type of structures with two tails or DSs are formed. The influence of different plasma parameters on the dynamical evolution of the HLNA-DSs is examined. It is observed that insertion of higher-order corrections of nonlinearity and dispersion effects significantly alter the first-order soliton structures into DSs. The findings of present investigation may be applicable to provide a new insight to understand the evolution of HLNA-DSs in different dense astrophysical region.

AB - A theoretical investigation has been carried out to examine the evolution of heavy- and light-nuclei acoustic (HLNA) dressed solitons (DSs) due to higher-order contributions of nonlinearity and dispersion effects in a degenerate ultra-relativistic degenerate quantum plasma composed of inertial heavy as well as light nuclei with inertia-less degenerate electrons. The nonlinear Korteweg–de Vries (KdV) equation is derived by using reductive perturbation method. Furthermore, higher-order corrections of nonlinearity and dispersion effects are considered and a linear inhomogeneous KdV-type equation is derived. With the contribution of higher-order effects, a new type of structures with two tails or DSs are formed. The influence of different plasma parameters on the dynamical evolution of the HLNA-DSs is examined. It is observed that insertion of higher-order corrections of nonlinearity and dispersion effects significantly alter the first-order soliton structures into DSs. The findings of present investigation may be applicable to provide a new insight to understand the evolution of HLNA-DSs in different dense astrophysical region.

KW - Degenerate electrons

KW - Heavy and light nuclei

KW - KdV equation

KW - Reductive perturbation method

KW - Solitons

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SN - 0973-1458

VL - 96

SP - 3331

EP - 3339

JO - Indian Journal of Physics

JF - Indian Journal of Physics

IS - 11

ER -

Heavy- and light-nuclei acoustic dressed solitons in white dwarfs

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