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.
No takes yet. Share an insight, caveat, or question.
S. Torvén (1981) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: