  We present exact classical solutions of the higher-derivative theory that
describes the dynamics of the position modulus of a probe brane within a
five-dimensional bulk. The solutions can be interpreted as static or
time-dependent throats connecting two parallel branes. In the nonrelativistic
limit the brane action is reduced to that of the Galileon theory. We derive
exact solutions for the Galileon, which reproduce correctly the shape of the
throats at large distances, but fail to do so for their central part. We also
determine the parameter range for which the Vainshtein mechanism is reproduced
within the brane theory.
