  The purpose of this article is to study gradient Yamabe soliton on warped
product manifolds. First, we prove triviality results in the case of noncompact
base with limited warping function, and for compact base. In order to provide
nontrivial examples, we consider the base conformal to a semi-Euclidean space,
which is invariant under the action of a translation group, and then we
characterize steady solitons. We use this method to give infinitely many
explicit examples of complete steady gradient Yamabe solitons.
