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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 thatsymmetry preserving stationary solutions can be reduced to the eigenstates ofthe corresponding linear Schr\"{o}dinger equation. Moreover, we have found thatthe symmetry breaking solutions can emerge not only from bifurcations, but alsofrom isolated points in the chemical potential-nonlinear interaction diagram.We also have found that there are some moving nodes in the symmetry breakingsolutions.Comment: 7 pages, 4 figure

Stationary solutions of Gross-Pitaevskii equations in a double square well