Ambipolarons: Solitary wave solutions for the radial electric field in a plasma
作者:
D. E. Hastings,
R. D. Hazeltine,
P. J. Morrison,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1986)
卷期:
Volume 29,
issue 1
页码: 69-75
ISSN:0031-9171
年代: 1986
DOI:10.1063/1.865954
出版商: AIP
数据来源: AIP
摘要:
The ambipolar radial electric field in a nonaxisymmetric plasma can be described by a nonlinear diffusion equation. This equation is shown to possess solitary wave solutions. A model nonlinear diffusion equation with a cubic nonlinearity is studied. An explicit analytic step‐like form for the solitary wave is found. It is shown that the solitary wave solutions are linearly stable against all but translational perturbations. Collisions of these solitary waves are studied and three possible final states are found: two diverging solitary waves, two stationary solitary waves, or two converging solitary waves leading to annihilation.
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