Shock waves and the formation of solitary structures in electron acoustic wave in inner magnetosphere plasma with relativistically degenerate particles

Goswami, Jyotirmoy; Chandra, Swarniv; Ghosh, Basudev

doi:10.1007/s10509-019-3555-7

Cited by 38 publications

(11 citation statements)

References 34 publications

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“…In this whole discussion, we have considered the ion velocity at about ten times greater than the velocity of dust particles. As we said in the previous result that we have discussed most of the results in the supersonic region so the effect of the dust streaming velocity is very less but it is the opposite of the result previously found for electro-static [16] or electron-acoustic [48,49] cases. In these papers, when the streaming velocities of the constituent particles increase the nonlinearity decrease, and the dispersive effect increases significantly.…”

Section: Resultscontrasting

confidence: 62%

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

Goswami

Kausik²

2023

Phys. Scr.

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A viscous dusty plasma containing Kappa-(κ−) distributed electrons,positive warm viscous ions and constant negatively charged dust grains with viscosity have been considered to study the modes of dust-ion-acoustic waves (DIAWs) theoretically and numerically. The derivations and basic features of shock and solitary waves with different plasma parameters like Mach number, finite temperature coefficient, unperturbed dust streaming velocity, kinematic viscosity of dust etc. of this DIAWs mode have been performed. Considering the dynamical equation from Korteweg–de Vries(KdV) equation, a phase portrait has been drawn and the position of saddle point or col. and center have also been discussed. This type of dusty plasma can be found in celestial bodies. The results of this research work can be applied to study the properties of DIAWs in various astrophysical situation where κ-distributive electrons are present and careful modification of the same model can help us to understand the nature of the DIAWs of laboratory plasma as well.

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Section: Resultscontrasting

confidence: 62%

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

Goswami

Kausik²

2023

Phys. Scr.

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“…The increase in width implies that when more particles participate in wave structure formation, there is more chance that the particles disperse from it [57]. A decrease in the amplitude of the solitary wave was also observed in a PIC simulation study by He et al; this decrease was attributed due to ions being extracted out of the solitary wave [45].…”

Section: Resultsmentioning

confidence: 61%

Shocks and solitons in collisional dense laser produced plasmas

Shilpa¹,

Pai²,

Michael³

et al. 2022

Phys. Scr.

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The characteristics of nonlinear electron-acoustic waves such as shocks and solitons, are investigated in a three component, dense laser produced plasma consisting of ions and two distinct groups of electrons, using the quantum hydrodynamic model and the standard reductive perturbation method. The modified Korteweg-deVries (mKdV) and Korteweg-deVries-Burgers (KdVB)equations have been derivedfor the electron-acoustic waves in the plasma. The dependence of both shocks and solitons on various parameters has been extensively studied. It is observed that whenever the density crosses the limit from the classical to the quantum range, the effective potential remains invariant for the solitary profiles; but shows a slight variation for the shock profiles. The collisional effect plays a significant role in the dissipation of solitary waves and the dissipation is larger for higher values of collision frequencies. The results obtained could prove helpful for understanding the parametric dependence of nonlinear waves in highly intense laser plasma interactions.

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“…To obtain the solution of equation ( 17) we make use of equation ( 18) and expand D( − V) by using the Taylor series in p and putting this expression in equation (17). we equate the coefficient of like powers of p, which are easily solvable (Appendix A).…”

Section: Symbolic Simulationmentioning

confidence: 99%

“…Such a technique holds good for small perturbations where approximation methods are justified, but this technique often lacks appropriateness and universality. Some authors [15][16][17][18] have used multiple-scale reductive perturbative techniques (RPTs) that are limited in application and fail to address the problem properly. Washimi and Taniuti [19] used RPTs to study the plasma problem.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear interaction of intense laser beam with dense plasma

Das

Chandra²,

Ghosh

2020

Plasma Phys. Control. Fusion

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We studied the nonlinear evolution of an amplitude-modulated envelop soliton formed in a dense plasma when a laser beam interacts with it. The employment of our newly developed technique, homotopy-assisted symbolic simulation, has been instrumental in the study of the nature and formation of envelope solitons and their dependence on various parameters. The different orders of homotopy perturbation generate a convergent series solution for such nonlinear coupled partial differential equations (PDE). Our technique bypasses the rigorous analytical derivation of coupled PDE without a loss of information. The methodology is very novel and holds promise for application in models that explain experimental observations. The results will be beneficial in interpreting various dense laser plasma interactions.

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Shock waves and the formation of solitary structures in electron acoustic wave in inner magnetosphere plasma with relativistically degenerate particles

Cited by 38 publications

References 34 publications

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

Shocks and solitons in collisional dense laser produced plasmas

Nonlinear interaction of intense laser beam with dense plasma

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