2017
DOI: 10.1002/ctpp.201700008
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Weakly dissipative dust acoustic solitons in the presence of superthermal particles

Abstract: An investigation of the linear and non-linear properties of low-frequency electrostatic (dust acoustic) waves in a collisional dusty plasma with negative dust grains, Maxwellian electrons, and -distributed ions is carried out. Low dust-neutral collisions accounting for dissipation (wave damping effect) is considered. The linear properties of dust acoustic excitations are discussed for varying values of relevant plasma parameters. It is shown that large wavelengths (beyond a critical value) are overdamped. In t… Show more

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Cited by 17 publications
(7 citation statements)
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References 34 publications
(37 reference statements)
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“…At the same time, physics of plasma dissipative soliton is just beginning to develop. Models of dissipative solitons are presented in [20][21][22][23][24] (for ion-, electron-, dust-acoustic (DA) modes) and [25,26] (for Langmuir mode). Despite the fact that abovementioned models describe solitons of various types, they all exhibit a common feature: in the case of weak dissipation, the dissipative soliton has a profile close to a classical one, while the wave evolution corresponds to a slow decay.…”
Section: Introductionmentioning
confidence: 99%
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“…At the same time, physics of plasma dissipative soliton is just beginning to develop. Models of dissipative solitons are presented in [20][21][22][23][24] (for ion-, electron-, dust-acoustic (DA) modes) and [25,26] (for Langmuir mode). Despite the fact that abovementioned models describe solitons of various types, they all exhibit a common feature: in the case of weak dissipation, the dissipative soliton has a profile close to a classical one, while the wave evolution corresponds to a slow decay.…”
Section: Introductionmentioning
confidence: 99%
“…Despite the fact that abovementioned models describe solitons of various types, they all exhibit a common feature: in the case of weak dissipation, the dissipative soliton has a profile close to a classical one, while the wave evolution corresponds to a slow decay. It should be noted that none of the acoustic models [20][21][22][23][24] considers the concept of dissipative solitons in terms of self-organization because of a lack of forces compensating for dissipation. In experimental works [27,28] only dissipative solitons with external pulse excitation were studied.…”
Section: Introductionmentioning
confidence: 99%
“…The DSs are also studied in ref. [28]. To the best of our knowledge, the ion-acoustic (IA) DSs in magnetized plasma with Maxwellian electrons in the presence of pressure anisotropy are unexplored so far.…”
mentioning
confidence: 99%
“…it is not a completely integrable Hamiltonian framework, i.e., we cannot find its exact solution, we cannot solve it analytically [26,28], here the energy of the soliton is not conserved but exponentially decreases with time, the soliton energy and amplitude are respectively given by…”
mentioning
confidence: 99%
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