Propagation of dust-acoustic waves in a bounded dusty plasma

Mondal, K. K.; Roychowdhury, A.; Paul, S. N.

doi:10.1103/physreve.65.016404

Cited by 4 publications

(2 citation statements)

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“…In a bounded dusty plasma, some authors report that the propagation of the solitary wave is impossible [32], but some authors think that the propagation of the solitary wave is possible [33], and we think that there are solitary waves in bounded conditions. However, the solitary wave is damping as it propagates with time.…”

Section: Discussionmentioning

confidence: 85%

Existence and damping of dust acoustic solitary waves in a bounded geometry

et al. 2013

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The propagation of the solitary wave in a dusty plasma bounded in finite geometry has been investigated. By employing the reductive perturbation method, we obtain a quasi Korteweg-de Vries-type equation. It is noted that the larger the value of viscosity coefficient μ(0), the stronger the damping of the solitary wave. On the other hand, the larger the value of the radius of bounded geometry R, the weaker the damping of the solitary wave. It is also found that the quasisolitary wave exists. However, the solitary wave is a damping one, and it will disappear in the limited case of R→0 or μ(0)→+∞.

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Section: Discussionmentioning

confidence: 85%

Existence and damping of dust acoustic solitary waves in a bounded geometry

et al. 2013

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“…There are debates for a long time about whether the solitary wave exists in a bounded plasma. [52,53] Present paper tries to answer this question. We distinguish whether the solitary wave exists by the following method.…”

Section: Discussionmentioning

confidence: 99%

Particle-in-cell simulation of ion-acoustic solitary waves in a bounded plasma*

Lin¹,

Liu²,

Wang³

et al. 2021

Chinese Phys. B

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We study some nonlinear waves in a viscous plasma which is confined in a finite cylinder. By averaging the physical quantities on the radial direction in some cases, we reduce this system to a simple one-dimensional model. It seems that the effects of the bounded geometry (the radius of the cylinder in this case) can be included in the damping coefficient. We notice that the amplitudes of both Korteweg–de Vries (KdV) solitary waves and dark envelope solitary waves decrease exponentially as time increases from the particle-in-cell (PIC) simulation. The dependence of damping coefficient on the cylinder radius and the viscosity coefficient is also obtained numerically and analytically. Both are in good agreement. By using a definition, we give a condition whether a solitary wave exists in a bounded plasma. Moreover, some of potential applications in laboratory experiments are suggested.

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