We compare model solutions of a forced Kadomtsev-Petviashvili (fKP) equation
with experimental observations of dust acoustic precursor solitons excited by a
supersonically moving charged cylindrical object in a dusty plasma medium. The
fKP equation is derived from a three-fluid-Poisson model of the dusty plasma
using the reductive perturbation technique and numerically solved for
parameters close to the experimental investigations of cylindrical precursor
solitons. The fKP model solutions show excellent agreement with the
experimental results in reproducing the prominent geometric features of the
two-dimensional solitons and closely matching the quantitative values of their
velocities, amplitudes, and temporal evolutions. Our findings suggest that the
fKP equation can serve as a very realistic model to investigate the dynamics of
precursor solitons and can be usefully employed in practical applications such
as space debris detection and tracking techniques that are based on
observing/predicting nonlinear plasma excitations induced by the debris in the
ionosphere.
Cet article explore les excursions dans le temps et leurs implications.
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