  We present analytical stationary solutions for the Gross-Pitaevskii equation
(GPE) of a Bose-Einstein condensate (BECs) trapped in a double-well potential.
These solutions are compared with those described by [Mahmud et al., PRA
\textbf{66}, 063607 (2002)]. In particular, we provide further evidence that
symmetry preserving stationary solutions can be reduced to the eigenstates of
the corresponding linear Schr\"{o}dinger equation. Moreover, we have found that
the symmetry breaking solutions can emerge not only from bifurcations, but also
from isolated points in the chemical potential-nonlinear interaction diagram.
We also have found that there are some moving nodes in the symmetry breaking
solutions.
