2020
DOI: 10.1063/1.5144659
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Stable three-dimensional Langmuir vortex soliton

Abstract: We present a numerical solution in the form of a three-dimensional (3D) vortex soliton in unmagnetized plasma in the model of the generalized Zakharov equations with saturating exponential nonlinearity. To find the solution with a high accuracy we use two-step numerical method combining the Petviashvili iteration procedure and the Newton-Kantorovich method. The vortex soliton with the topological charge m = 1 turns out to be stable provided the nonlinear frequency shift exceeds a certain critical value. The st… Show more

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Cited by 5 publications
(2 citation statements)
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“…In recent decades, extensive studies [8,13,14,15,16,17,18,19,20,21,22,23,24] have been carried out to understand the role of MR in particle acceleration within space and astrophysical plasmas. Specifically, the focus has been in understanding the processes involved in mildly relativistic particle acceleration during the events such as solar flares and magnetospheric substorms.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In recent decades, extensive studies [8,13,14,15,16,17,18,19,20,21,22,23,24] have been carried out to understand the role of MR in particle acceleration within space and astrophysical plasmas. Specifically, the focus has been in understanding the processes involved in mildly relativistic particle acceleration during the events such as solar flares and magnetospheric substorms.…”
Section: Introductionmentioning
confidence: 99%
“…This requires the information of the time duration of electron confinement within a magnetic island, which is governed by the electron's interaction with the island. Recent studies [17,21] based on fluid model and test particles showed that the curvature drift is a dominant source of electron heating but the underlying physics for the energy gain is still in question. In this paper, we aim to answer this question by presenting a model to grasp the essential physical process of the contracting magnetic island and then use test particles to study electron interaction with the islands.…”
Section: Introductionmentioning
confidence: 99%