  We exploit the beauty and strength of the symmetry invariant restrictions on
the (anti-)chiral superfields to derive the Becchi-Rouet-Stora-Tyutin (BRST),
anti-BRST and (anti-)co-BRST symmetry transformations in the case of a two
(1+1)-dimensional (2D) self-dual chiral bosonic field theory within the
framework of augmented (anti-)chiral superfield formalism. Our 2D ordinary
theory is generalized onto a (2, 2)-dimensional supermanifold which is
parameterized by the superspace variable Z^M = (x^\mu, \theta, \bar\theta)
where x^\mu (with \mu = 0, 1) are the ordinary 2D bosonic coordinates and
(\theta,\, \bar\theta) are a pair of Grassmannian variables with their standard
relationships: \theta^2 = {\bar\theta}^2 =0, \theta\,\bar\theta +
\bar\theta\theta = 0. We impose the (anti-)BRST and (anti-)co-BRST invariant
restrictions on the (anti-)chiral superfields (defined on the (anti-)chiral (2,
1)-dimensional super-submanifolds of the above general (2, 2)-dimensional
supermanifold) to derive the above nilpotent symmetries. We do not exploit the
mathematical strength of the (dual-)horizontality conditions anywhere in our
present investigation. We also discuss the properties of nilpotency, absolute
anticommutativity and (anti-)BRST and (anti-)co-BRST symmetry invariance of the
Lagrangian density within the framework of our augmented (anti-)chiral
superfield formalism. Our observation of the absolute anticommutativity
property is a completely novel result in view of the fact that we have
considered only the (anti-)chiral superfields in our present endeavor.
