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Collision properties of overtaking supersolitons with small amplitudes

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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.
Keywords
SOLITARY WAVES, ION, PLASMA, EQUATIONS, LAYERS

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Citation

Please use this url to cite or link to this publication:

MLA
Olivier, CP, Frank Verheest, and WA Hereman. “Collision Properties of Overtaking Supersolitons with Small Amplitudes.” PHYSICS OF PLASMAS 25.3 (2018): n. pag. Print.
APA
Olivier, CP, Verheest, F., & Hereman, W. (2018). Collision properties of overtaking supersolitons with small amplitudes. PHYSICS OF PLASMAS, 25(3).
Chicago author-date
Olivier, CP, Frank Verheest, and WA Hereman. 2018. “Collision Properties of Overtaking Supersolitons with Small Amplitudes.” Physics of Plasmas 25 (3).
Chicago author-date (all authors)
Olivier, CP, Frank Verheest, and WA Hereman. 2018. “Collision Properties of Overtaking Supersolitons with Small Amplitudes.” Physics of Plasmas 25 (3).
Vancouver
1.
Olivier C, Verheest F, Hereman W. Collision properties of overtaking supersolitons with small amplitudes. PHYSICS OF PLASMAS. 2018;25(3).
IEEE
[1]
C. Olivier, F. Verheest, and W. Hereman, “Collision properties of overtaking supersolitons with small amplitudes,” PHYSICS OF PLASMAS, vol. 25, no. 3, 2018.
@article{8559465,
  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.},
  articleno    = {032309},
  author       = {Olivier, CP and Verheest, Frank and Hereman, WA},
  issn         = {1070-664X},
  journal      = {PHYSICS OF PLASMAS},
  keywords     = {SOLITARY WAVES,ION,PLASMA,EQUATIONS,LAYERS},
  language     = {eng},
  number       = {3},
  pages        = {6},
  title        = {Collision properties of overtaking supersolitons with small amplitudes},
  url          = {http://dx.doi.org/10.1063/1.5027448},
  volume       = {25},
  year         = {2018},
}

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