Theoretical study of head-on collision of dust acoustic solitary waves in a strongly coupled complex plasma

Jaiswal, Surabhi; Bandyopadhyay, P.; Sen, Abhijit

doi:10.1063/1.4876752

Cited by 30 publications

(20 citation statements)

References 45 publications

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“…8, which shows the trajectories of the two solitons, it can be observed that after the collision the low amplitude soliton in this case gets dragged in the direction opposite to its own propagation, by the high amplitude structure for a while. This is in confirmation with the analytical results obtained by Surabhi et al 42 . This time phase shift is about 5.7ω −1 pd which is shown in Fig.…”

Section: B Head-on Collision Of Different Amplitude Solitonssupporting

confidence: 93%

Observation of the Korteweg-de Vries soliton in molecular dynamics simulations of a dusty plasma medium

2017

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Excitation and the evolution of Korteweg-de Vries (KdV) solitons in a dusty plasma medium is studied using Molecular Dynamics (MD) simulation. The dusty plasma medium is modelled as a collection of dust particles interacting through Yukawa potential which takes account of dust charge screening due to the lighter electron and ion species. The collective response of such screened dust particles to an applied electric field impulse is studied here. An excitation of a perturbed positive density pulse propagating in one direction along with a train of negative perturbed rarefactive density oscillations in the opposite direction is observed. These observations are in accordance with evolution governed by the KdV equation. Detailed studies of (a) amplitude vs. width variation of the observed pulse, (b) the emergence of intact separate pulses with an associated phase shift after collisional interaction amidst them etc., conclusively qualify the positive pulses observed in the simulations as KdV solitons. It is also observed that by increasing the strength of the electric field impulse, multiple solitonic structures get excited. The excitations of the multiple solitons are similar to the experimental observations reported recently by Boruah et al. [Phys. of Plasmas 23, 093704 (2016)] for dusty plasmas. The role of coupling parameter has also been investigated here which shows that with increasing coupling parameter, the amplitude of the solitonic pulse increases whereas its width decreases.

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Section: B Head-on Collision Of Different Amplitude Solitonssupporting

confidence: 93%

Observation of the Korteweg-de Vries soliton in molecular dynamics simulations of a dusty plasma medium

2017

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“…It is the critical value of the plasma transmission from the fluid phase to a quasisolid structure called the plasma crystal. These results correspond with the simulation results in Reference [17] and with the theoretical study that did not take into account the effect of the structure parameter on the compressibility (i.e., k = 0) in Reference [14].…”

Section: Soliton Shape Changessupporting

confidence: 89%

“…We consider an unmagnetized strongly coupled dusty plasma system with negatively charged inertial dust grains and inertia-less electrons and the ions that can be described by Boltzmann distributions. The dust fluid equations that can describe this system are given as follows [14,21]:…”

Section: Methodsmentioning

confidence: 99%

“…Many researchers have studied the interaction of nonlinear waves in dusty plasma systems using many analytical, experimental, and numerical methods. Jaiswal et al [14] studied dust-acoustic solitary wave (DASW) head-on collision in strongly and weakly coupled dusty plasma, using the extended Poincaré-Lighthill-Kuo perturbation method. Effects of dusty plasma parameters on phase shifts of these solitary waves are studied.…”

Section: Introductionmentioning

confidence: 99%

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Study of Dust-Acoustic Multisoliton Interactions in Strongly Coupled Dusty Plasmas

Kabalan

Ahmad

Ali

2020

Advances in Mathematical Physics

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The effect of the structure parameter on the compressibility of dust grains and soliton behavior in a dusty plasma system consisting of Maxwellian electrons, ions, and dust grains charged with a negative charge has been studied. In the theoretical study, a reductive perturbation technique was used to derive the Korteweg-de Vries (KdV) equation and employ the Hirota bilinear method to obtain multisoliton solution. It is found that coupling and structure parameters have a clear effect on the compressibility. These changes in the compressibility affected the amplitude and width of interactive solitons, in addition to the phase shifts resulting from the interaction. These results can be used to understand the behavior of solitary waves that occur in various natural and laboratory plasma environments with dust impurity situations.

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“…It is well known that the head on collision between two opposite propagating KdV solitary waves can pass through each other as if without suffering any interaction except for a slight phase shift in their positions. It has been extensively studied by using the extended Poincare-Lighthill-Kuo (PLK) method analytically 20 25 26 27 28 and verified in the experiments 19 . Recently the application scope of the PLK method on the colliding of two KdV solitary waves is studied by using the PIC method 23 .…”

Section: Resultsmentioning

confidence: 99%

Envelope solitary waves exist and collide head-on without phase shift in a dusty plasma

Zhang

Duan

et al. 2015

Sci Rep

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The rarefactive KdV solitary waves in a dusty plasma have been extensively studied analytically and found experimentally in the previous works. Though the envelope solitary wave described by a nonlinear Schrödinger equation (NLSE) has been proposed by using the reductive perturbation method, it is first verified by using the particle-in-cell (PIC) numerical method in this paper. Surprisingly, there is no phase shift after the head on collision between two envelope solitary waves, while it is sure that there are phase shifts of two colliding KdV solitary waves after head on collision.

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Theoretical study of head-on collision of dust acoustic solitary waves in a strongly coupled complex plasma

Cited by 30 publications

References 45 publications

Observation of the Korteweg-de Vries soliton in molecular dynamics simulations of a dusty plasma medium

Observation of the Korteweg-de Vries soliton in molecular dynamics simulations of a dusty plasma medium

Study of Dust-Acoustic Multisoliton Interactions in Strongly Coupled Dusty Plasmas

Envelope solitary waves exist and collide head-on without phase shift in a dusty plasma

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