\#1[ ==]{}\#1\#2 \#3 \#4 \#5\]\#6[\#2 \#3 \#4 \#5 .\
]{}\#1\#1[=\#1 [=12 \#\#1[‘\#\#1=]{}‘ =10 to :.\
]{}]{}\#1[ = by- = by- =0 =0 == = = - = 2 &gt;0 0 0$ because the rest are related
to the $n0$ ones by a field
redefinition. It can also be arranged, without loss of generality, for the
coupling constant
$$ to lie in the Cartan subalgebra of the group $G$.  With
this choice for $$, we shall show that all vacua lie on a
maximal torus of the group $G$.   We shall
first solve the Bogomol'nyi equations of $SO(2)$-models and show that
the $SO(2)$ solitons generalise the sine-Gordon solitons; the latter
are recovered in
the limit $=0$. We shall then give the soliton solutions of the
$SU(2)$ model for $n=1$ and $n=2$ without
posing any restriction on the coupling constant $$.  In the
$n=1$ case, we shall find two classes of
solitons.  The first one is a set of static solitons that lie on a
maximal torus of $SU(2)$
and are embeddings of the $SO(2)$ solitons.  The second one is a set
of time-dependent solutions that, apart
from their asymptotic values, lie in the complement of the maximal
torus of $SU(2)$ and 