  A multi-species magnetized collisional nonthermal plasma system containing
inertial ion species, non-inertial electron species following nonthermal
$\kappa-$ distribution, and immobile dust particles, is considered to examine
the characteristics of the dissipative dust-ion-acoustic (DIA) soliton modes,
\textbf{theoretically and parametrically}. The electrostatic solitary modes are
found to be associated with the low frequency dissipative dust-ion-acoustic
solitary waves (DIASWs). The ion-neutral collision is taken into account, and
the influence of ion-neutral collisional effects on the dynamics of dissipative
DIASWs is investigated. It is reported that most of the plasma mediums in space
and laboratory are far from thermal equilibrium, and the particles in such
plasma systems are well fitted via the $\kappa-$nonthermal distribution than
via the thermal Maxwellian distribution. The reductive perturbation approach is
adopted to derive the damped KdV (dKdV) equation, and the solitary wave
solution of the dKdV equation is derived via the tangent hyperbolic method to
analyze the basic features (amplitude, width, speed, time evolution, etc.) of
dissipative DIASWs. The propagation nature and also the basic features of
dissipative DIASWs are seen to influence significantly due to the variation of
the plasma configuration parameters and also due to the variation of the
supethermality index $\kappa$ in the considered plasma system. The implication
of the results of this study could be useful for better understanding the
electrostatic localized disturbances, in the ion length and time scale, in
space and experimental dusty plasmas, where the presence of excess energetic
electrons and ion-neutral collisional damping are accountable.
