  Topologically stable non-Abelian sine-Gordon solitons have been found
recently in the $U(N)$ chiral Lagrangian and a $U(N)$ gauge theory with two $N$
by $N$ complex scalar fields coupled to each other. We construct the effective
theory on a non-Abelian sine-Gordon soliton that is a nonlinear sigma model
with the target space ${\mathbb R} \times {\mathbb C}P^{N-1}$. We then show
that ${\mathbb C}P^{N-1}$ lumps on it represent $SU(N)$ Skyrmions in the bulk
point of view, providing a physical realization of the rational map Ansatz for
Skyrmions of the translational (Donaldson) type. We find therefore that
Skyrmions can exist stably without the Skyrme term.
