  The evolutionary existence of plasma fireballs is a generic phenomenon
realizable in diversified physical plasma-dominated circumstances starting from
the laboratory to the astrocosmic scales of space and time. A fair
understanding of such fireballs and associated instabilities is indeed needed
to enrich astroplasmic communities from various perspectives of applied value.
Naturally occurring plasma fireball events include novae, meteors, stellar
structures, etc. We propose a theoretical model formalism to analyze the plasma
fireball sheath (PFS) instability with the application of a quasi-linear
perturbative analysis on the laboratory spatiotemporal scales. This treatment
reduces the steady-state system into a unique second-order ordinary
differential equation (ODE) on the perturbed electrostatic potential with
variable multiparametric coefficients. A numerical illustrative platform to
integrate this ODE results in an atypical set of peakon-type potential-field
structures. It is noticed that both the potential and field associated with the
peakonic patterns change significantly with the effective radial distance from
the reference origin outwards. The variations are more pronounced at the center
(steep, stiff) than that in the off-centric regions (non-steep, non-stiff). A
colormap obtained with the triangulation of the potential-field correlation
with the radial distance further confirms the PFS stability behaviors in a
qualitative corroboration with the previous predictions reported in the
literature. The applicability of our analysis in both the laboratory and
astrocosmic contexts is finally indicated.
