  This article encloses some results on nonncommutative analogue of nonabelian
equations of Langmuir oscillations. One of the main contributions of this work
is to construct the Darbboux transformation for the solution of that equation
in noncommutative framework incorporating associated discrete Lax system.
Further the standard Darboux transformation on arbitrary eigenfunctions of the
Lax system are presented in quasideterminants for few index values. Moreover,
these computations include the derivation of noncommutative version of
nonabelian discrete nonlinear Schr$\ddot{o}$dinger which coincides with its
classical model under commutative limit. The end portion of this article
reveals the identity of noncommutative formalism incorporating a derivation of
an equation of motion which coincides with its existing commutative form in
background zero value of spectral parameter.
