Collision properties of overtaking supersolitons with small amplitudes
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Date
Authors
Olivier, C.P.
Verheest, F.
Hereman, W.A.
Journal Title
Journal ISSN
Volume Title
Publisher
AIP
Abstract
The collision properties of overtaking small-amplitude supersolitons are investigated for the fluid
model of a plasma consisting of cold ions and two-temperature Boltzmann electrons. A reductive perturbation
analysis is performed for compositional parameters near the supercritical composition. A
generalized Korteweg-de Vries equation with a quartic nonlinearity is derived, referred to as the modified
Gardner equation. Criteria for the existence of small-amplitude supersolitons are derived. The
modified Gardner equation is shown to be not completely integrable, implying that supersoliton collisions
are inelastic, as confirmed by numerical simulations. These simulations also show that supersolitons
may reduce to regular solitons as a result of overtaking collisions
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Citation
Olivier, C.P. et al. 2018. Collision properties of overtaking supersolitons with small amplitudes. Physics of plasmas, 25(3): Article no 032309. [https://doi.org/10.1063/1.5027448]