  The authors of the article Phys. Lett. B 652 (2007) 384, (arXiv:0707.2207),
propose an interesting method to solve the Faddeev model by reducing it to a
set of first order PDEs. They first construct a vectorial quantity $\bm \alpha
$, depending on the original field and its first derivatives, in terms of which
the field equations reduce to a linear first order equation. Then they find
vectors $\bm \alpha_1$ and $\bm \alpha_2$ which identically obey this linear
first order equation. The last step consists in the identification of the $\bm
\alpha_i$ with the original $\bm \alpha$ as a function of the original field.
Unfortunately, the derivation of this last step in the paper cited above
contains an error which invalidates most of its results.
