Speaker
Dr
Carel Olivier
(North-West University)
Description
Solitons are spatially localized solitary waves that propagate without changing shape or velocity, and arise as bipolar structures in the electric field. A special class of solitons have recently been reported, namely supersolitons [1]. Supersolitons are deformed solitons with additional local minima and maxima in the electric field, giving rise to so-called “wiggles in the tails”. Supersolitons have been predicted theoretically in many different plasma models. It was also shown to be stable via fluid simulations [2]. However, the collision properties have not been considered. In this paper, we use a reductive perturbation analysis to study supersolitons in a plasma consisting of cold ions and two-temperature Boltzmann electrons. A Korteweg-deVries-type equation is derived that governs small-amplitude supersolitons. This equation is used to simulate supersoliton collisions, in order to determine the properties of overtaking soliton-supersoliton and supersoliton-supersoliton collisions.
[1] A. E. Dubinov and D. Yu. Kolotkov, Interpretation of ion-acoustic solitons of unusual form
in experiments in SF_6-Ar plasma, High Energy Chem. 46, 349—353 (2012).
[2] A. Kakad, A. Lotekar and B. Kakad, First-ever model simulation of the new subclass of solitons
"Supersolitons" in plasma, Phys. Plasmas 23, 110702 (2016)
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Summary
We use a reductive perturbation analysis to study supersolitons in a plasma consisting of cold ions and two-temperature Boltzmann electrons. A Korteweg-deVries-type equation is derived that governs small-amplitude supersolitons. This equation is used to simulate supersoliton collisions, in order to determine the properties of overtaking soliton-supersoliton and supersoliton-supersoliton collisions.
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Level for award<br> (Hons, MSc, <br> PhD, N/A)?
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Main supervisor (name and email)<br>and his / her institution
Dr. Du Toit Strauss
North-West University
Primary author
Dr
Carel Olivier
(North-West University)
Co-author
Prof.
Frank Verheest
(University of Ghent)
