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Two wave collapses and a strange soliton in current carrying plasmas

Authors
Journal
Physica D Nonlinear Phenomena
0167-2789
Publisher
Elsevier
Publication Date
Volume
105
Issue
4
Identifiers
DOI: 10.1016/s0167-2789(97)89582-6
Keywords
  • Lagrangian Formulation
  • Wave Collapse
  • Self-Similarity
  • Explosive Behavior
  • Soliton
  • Current Carrying Plasmas
  • Charge Separation
Disciplines
  • Musicology
  • Physics

Abstract

Abstract A current driven plasma is analyzed in the two-fluid approach. A Lagrangian treatment of the charge neutral system results in a nonlinear scalar wave equation, which exhibits two different singular wave solutions. One wave collapse is associated with a density excavation, the other with a density compression. The latter represents the scenario of wave breaking and survives under charge separation. A new soliton solution is found just above threshold of linear instability of the charge nonneutral system in case of hot electrons. It is reminiscent of an ion acoustic KdV-soliton but differs from it in several respects such as in the propagation speed, in the strength and polarity of the electrostatic potential and in the spatial width. It is a finite ion temperature effect and disappears in the cold ion limit T i → 0.

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