Korteweg-de Vries-Burgers equation in a multi-component magnetized plasma with nuclei of heavy elements

Hosen, B.; Amina, M.; Mamun, A. A.; Hossen, M. R.

doi:10.3938/jkps.69.1762

Cited by 16 publications

(8 citation statements)

References 51 publications

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“…We now construct a weakly nonlinear theory for the nonlinear propagation of the NA SWs by using the reductive perturbation method [34]. We shall adopt the stretched coordinates [25,35] as…”

Section: Derivation Of the K-dv Equationmentioning

confidence: 99%

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Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Zaman,

Amina,

Mamun

2017

Preprint

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The basic properties of the nucleus-acoustic (NA) solitary waves (SWs) are investigated in a super-dense self-gravitating magnetized quantum plasma (SDSGMQP) system in the presence of an external magnetic field, whose constituents are the non-degenerate light (heavy) nuclei, and non/ultra-relativistically degenerate electrons. The Korteweg-de Vries (KdV) equation has been derived by employing the reductive perturbation method. The NA SWs are formed with negative (positive) electrostatic (self-gravitational) potential. It is also observed that the effects of non/ultra-relativistically degenerate electron pressure, and the obliqueness of the external magnetic field significantly change the basic properties (e.g. amplitude, width, and speed) of NA SWs. The findings of our present analysis can be very helpful to explain the physics behind the formation of the NA SWs in astrophysical compact objects, specially neutron stars, which are briefly discussed.

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“…We now construct a weakly nonlinear theory for the nonlinear propagation of the NA SWs by using the reductive perturbation method [34]. We shall adopt the stretched coordinates [25,35] as…”

Section: Derivation Of the K-dv Equationmentioning

confidence: 99%

“…It may be included that m e is the mass of electrons, h is Planck's constant divided by 2π, and c is the speed of light in vacuum. Recently, relativistic degenerate plasma has achieved enormous attention due to its existence in interstellar compact objects [21][22][23][24] and in intense laser plasma experiments [25].…”

Section: Introductionmentioning

confidence: 99%

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Zaman,

Amina,

Mamun

2017

Preprint

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“…where Recently, a number of authors [11][12][13][14][15][16][17] have studied the propagation of electrostatic, electromagnetic, and selfgravitational perturbations in degenerate quantum plasmas by considering the aforementioned pressure equation of Chandrasekhar in the case of astrophysical compact objects like white dwarfs and neutron stars. El-Taibany and Mamun [11] investigated the nonlinear propagation of electromagnetic perturbation in an ultra-relativistic degenerate dense electron-positron plasma containing inertial ultra-cold and ultra-relativistic degenerate electrons and studied the basic features of the solitary waves in such an ultra-relativistic degenerate dense plasma.…”

Section: Introductionmentioning

confidence: 99%

“…Mamun [14] studied the self-gravito-acoustic waves in a three-component nonrelativistically degenerate quantum plasma system. Hosen et al [15] investigated the nonlinear properties of the ion-acoustic waves in a relativistically (non-relativistic and ultra-relativistic) degenerate magnetized quantum plasma. Ema et al [16] studied the nonlinear propagation of modified electron-acoustic shock waves in an unmagnetized, relativistically (non-relativistic and ultrarelativistic) degenerate quantum plasma.…”

Section: Introductionmentioning

confidence: 99%

Self-Gravitational Shock Structures in Self-Gravitating, Super-Dense, Degenerate Quantum Plasmas

Asaduzzaman

Mamun

2020

J. Korean Phys. Soc.

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The nonlinear propagation of self-gravitational shock structures (SGSSs) in a self-gravitating, super-dense, degenerate quantum plasma system (containing non-degenerate extremely heavy nuclei and ultra-relativistic degenerate electrons) has been investigated. The well-known reductive perturbation technique, which is valid in the small but finite amplitude limit, has been used to examine the nonlinear propagation of these SGSSs in such degenerate quantum plasma systems. The nonlinear dynamics of these SGSSs has been found to be governed by the Burgers equation, which is derived analytically and solved numerically in planar coordinates. These SGSSs in such plasma systems are shown to be formed due to the presence of a viscous force (which is the source of dissipation) acting on inertial extremely heavy nuclei species of the plasma system. The fundamental properties (viz., amplitude, width, speed, etc.) of these SGSSs are influenced in the ultra-relativistic limit. Our considered plasma model and the numerical analysis of the Burgers equation can be applied to astrophysical compact objects like neutron stars.

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“…A large number number of works on relativistic degenerate quantum plasma have been accomplished considering different acoustic waves in the recent years [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61]. Han et al [62] investigate the existence of electronacoustic shock waves and their interactions in a non-Maxwellian plasma with q-nonextensive distributed electrons .…”

Section: Introductionmentioning

confidence: 99%

Propagation of shock structures in a high density plasma

Sharif

2017

Preprint

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A theoretical investigation has been made to study the cylindrical and spherical electron-acoustic shock waves (EASWs) in an unmagnetized, collisionless degenerate quantum plasma system containing two distinct groups of electrons (one inertial non-relativistic cold electrons and other inertialess ultra-relativistic hot electrons) and positively charged static ions. By employing well known reductive perturbation method the modified Burgers (mB) equation has been derived. It is seen that only rarefactive shock waves can propagate in such a quantum plasma system. The effects of degenerate plasma pressure and number density of hot and cold electron fluids, nonplanar geometry, and positively charged static ions are responsible to modify the fundamental properties of EASWs. It is also observed that the properties of planar mB shocks are quite different from those of nonplanar mB shocks. The findings of the present investigation should be useful in understanding the nonlinear phenomena associated with nonplanar EAWs in both space and laboratory plasmas.

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Korteweg-de Vries-Burgers equation in a multi-component magnetized plasma with nuclei of heavy elements

Cited by 16 publications

References 51 publications

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Self-Gravitational Shock Structures in Self-Gravitating, Super-Dense, Degenerate Quantum Plasmas

Propagation of shock structures in a high density plasma

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