Modified Korteweg-de Vries Equation for Propagating Double Layers in Plasmas
- 12 October 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 47 (15), 1053-1056
- https://doi.org/10.1103/physrevlett.47.1053
Abstract
A modified Korteweg-de Vries equation with a cubic nonlinearity is found to describe the time evolution of propagating double layers or electrostatic shocks. The asymptotic form of the solution is discussed for a monotonic initial profile. The profile may steepen and reach a steady state simultaneously as a number of solitary waves form behind the shock, resembling the time evolution of experimentally observed shock profiles.Keywords
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