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Acoustic solitary waves and Sagdeev potential triple roots

(2010) AIP Conference Proceedings. 1302. p.50-60
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Abstract
Both KdV theory and the standard pseudopotential theory require that solitons and double layers be explicitly super-acoustic, with the pseudopotential psi(phi,M) having a maximum at the origin. Recent studies of a variety of different three-component plasmas have shown that they may support finite amplitude solitons at the true acoustic speed of the plasma configuration, M-s. These are associated with triple roots of the Sagdeev potential, and the usual soliton condition is replaced by psi ''(0,M) <= 0. Sagdeev potentials for speeds marginally greater than M-s then represent solitons of both polarities, one whose amplitude vanishes at M-s (KdV-like), while the other is necessarily finite at M-s ('nonKdV-like'). Such coexistence regions have been observed to be linked to a critical plasma compositional parameter value for which psi''' (0,M-s) = 0.
Keywords
Sagdeev potential, Solitons, 2-ELECTRON-TEMPERATURE PLASMA, DOUBLE-LAYERS, SOLITONS, EXISTENCE, ELECTRONS

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Chicago
Hellberg, Manfred Armin, Thomas Kisandi Baluku, and Frank Verheest. 2010. “Acoustic Solitary Waves and Sagdeev Potential Triple Roots.” In AIP Conference Proceedings, ed. Bengt Eliasson and PK Shukla, 1302:50–60. Melville, NY, USA: American Institute of Physics (AIP).
APA
Hellberg, Manfred Armin, Baluku, T. K., & Verheest, F. (2010). Acoustic solitary waves and Sagdeev potential triple roots. In B. Eliasson & P. Shukla (Eds.), AIP Conference Proceedings (Vol. 1302, pp. 50–60). Presented at the ICTP International advanced workshop on the Frontiers of Plasma Physics, Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Hellberg MA, Baluku TK, Verheest F. Acoustic solitary waves and Sagdeev potential triple roots. In: Eliasson B, Shukla P, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2010. p. 50–60.
MLA
Hellberg, Manfred Armin, Thomas Kisandi Baluku, and Frank Verheest. “Acoustic Solitary Waves and Sagdeev Potential Triple Roots.” AIP Conference Proceedings. Ed. Bengt Eliasson & PK Shukla. Vol. 1302. Melville, NY, USA: American Institute of Physics (AIP), 2010. 50–60. Print.
@inproceedings{1830273,
  abstract     = {Both KdV theory and the standard pseudopotential theory require that solitons and double layers be explicitly super-acoustic, with the pseudopotential psi(phi,M) having a maximum at the origin. Recent studies of a variety of different three-component plasmas have shown that they may support finite amplitude solitons at the true acoustic speed of the plasma configuration, M-s. These are associated with triple roots of the Sagdeev potential, and the usual soliton condition is replaced by psi ''(0,M) {\textlangle}= 0. Sagdeev potentials for speeds marginally greater than M-s then represent solitons of both polarities, one whose amplitude vanishes at M-s (KdV-like), while the other is necessarily finite at M-s ('nonKdV-like'). Such coexistence regions have been observed to be linked to a critical plasma compositional parameter value for which psi''' (0,M-s) = 0.},
  author       = {Hellberg, Manfred Armin and Baluku, Thomas Kisandi and Verheest, Frank},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Eliasson, Bengt and Shukla, PK},
  isbn         = {9780735408623},
  issn         = {0094-243X},
  keyword      = {Sagdeev potential,Solitons,2-ELECTRON-TEMPERATURE PLASMA,DOUBLE-LAYERS,SOLITONS,EXISTENCE,ELECTRONS},
  language     = {eng},
  location     = {Trieste, Italy},
  pages        = {50--60},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Acoustic solitary waves and Sagdeev potential triple roots},
  url          = {http://dx.doi.org/10.1063/1.3533193},
  volume       = {1302},
  year         = {2010},
}

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