Dromion in space and laboratory dusty plasma

Annou, K.; Annou, R.

doi:10.1063/1.3700434

Cited by 19 publications

(17 citation statements)

References 18 publications

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“…Sen et al [2004] proposed the applications of dromions in plasma heating and self-focusing by manipulation of the boundary potentials. The characteristics of dromions in two-component magnetized dusty plasma in the presence of positive ions obeying Maxwellian distribution were reported by Annou and Annou [2012]. They illustrated the effect of magnetic field as well as dust concentration on the characteristics of DA dromions.…”

Section: Introductionmentioning

confidence: 88%

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

2016

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An investigation of dust acoustic (DA) dromions in a magnetized dusty plasma consisting of inertial dust fluid, kappa‐type distributed electrons, and ions is presented. Using reductive perturbation technique, we have derived coupled nonlinear evolution equations of (2 + 1) dimensions (called Davey‐Stewartson (DS‐I) equations). Hirota bilinear method has been employed to derive the analytical solution of DS‐I equations. The solutions of such equations are exponentially localized and are called dromions. The combined effects of various physical parameters such as superthermality of charged particles, strength of magnetic field, and dust concentration have been studied on the existence regions and propagation properties of DA dromions in context with observations of POLAR satellite in the presence of superthermal particles in polar cap boundary layer region of Earth's atmosphere.

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Section: Introductionmentioning

confidence: 88%

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

2016

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“…Recent theoretical studies indicate that the properties of solitary waves in bounded nonplanar spherical geometry differ from that in unbounded planar geometry (Xue 2003;Annou and Annou 2012b). It is now well known that the transverse perturbation (which always exists in the higher dimensional system) may not only introduce anisotropy into the system but also modify the structure and stability of the solution (Xie et al 1998).…”

Section: Introductionmentioning

confidence: 98%

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Annou

2015

Astrophys Space Sci

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Soliton formation in plasma is addressed. Nonlinear acoustic waves in plasma where the combined effects of bounded spherical geometry and the transverse perturbation are dealt with, in two-temperature electron plasma are studied. Using the perturbation method, a spherical KadomtsevPetviashvili equation (SKP) that describes the ion acoustic waves is derived. The plasma is modeled by a kappa distribution function for both electrons components as found in Saturn's magnetosphere. It is found that parameters taken into account have significant effects on the properties of nonlinear waves. The model is applied to Saturn's magnetosphere, where two temperature superthermal electrons are present. Hence, ion acoustic waves are deduced for three regions, namely, the inner, the intermediate and the outer Saturn's magnetosphere. We point out, that this work has been motivated by recent observations of Saturn's magnetosphere.

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“…The PT-symmetry has been applied in linear and nonlinear lattices, double-chanel wave-guides, and nonlocal nonlinearity [23][24][25][26][27][28][29][30][31][32][33][34][35]. Recently, in optical media, the soliton propagation with the PT-symmetric potential is inspiring intensive research both from the theory and practical applications [36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Dromion structures in the(2+1)-dimensional nonlinear Schrödinger equation with a parity-time-symmetric potential

Liu

Wong

et al. 2015

Applied Mathematics Letters

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Please cite this article as: Y.-Q. Li, W.-J. Liu, P. Wong, L.-G. Huang, N. Pan, Dromion structures in the (2 + 1)-dimensional nonlinear Schrödinger equation with a parity-time-symmetric potential, Appl. Math. Lett. (2015), http://dx. AbstractIn this paper, the (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation with a paritytime-symmetric potential UP T (r, ϕ) is investigated. With the separation of variables, the solutions for that equation are obtained. Via the obtained solutions, some dromion structures are derived with corresponding parameters, and the influences of them (especial parity-time-symmetry) are analyzed and studied. Results show that the parity-time-symmetric potential plays an important role for obtaining dromion structures.

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Dromion in space and laboratory dusty plasma

Abstract: The nonlinear evolution of dust acoustic wave in magnetized dusty plasma was shown to obey the Davey-Stewartson I equation, which admits the so called dromion solutions.

Cited by 19 publications

References 18 publications

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Dromion structures in the(2+1)-dimensional nonlinear Schrödinger equation with a parity-time-symmetric potential

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