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 the limit of low dust-neutral collision rate, we have derived a damped Korteweg de Vries (KdV) equation by using the reductive perturbation technique. Supplemented by vanishing boundary conditions, the time-varying solution of damped KdV equation leads to a weakly dissipative negative potential soliton. The soliton evolution with the damping parameter and other physical plasma parameters (superthermality, dust concentration, ion temperature) is delineated. KEYWORDS damped KdV equation, dust acoustic solitons, superthermal plasmas 1

Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons

“…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.…”

“…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.…”

Dissipative solitons in magnetized anisotropic plasma

“…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.…”

“…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…”

“…The effect of Ω on nonlinear structures is completely in agreement with the result of refs. [28,34].…”