We study classical BPS five-brane solutions in the Horava-Witten super
gravity. The presence of the eleventh dimension add a new feature, nam
ely the dependence of the solution on this new coordinate. For gauge f
ive-branes with an instanton size less than the eleventh radius and in
the neighborhood of the center of the neutral five-brane, important c
orrections to the ten-dimensional solution appear for all values of th
e string coupling constant. We compute the mass and magnetic charge of
the five-brane solitons and the result is shown to agree with the mem
brane and five-brane quantization conditions. Compactified to four dim
ensions, our solutions are interpreted as axionic strings. (C) 1998 El
sevier Science B.V.