  We investigate a static, cylindrically symmetric cosmic string on the brane
without a perturbative approximation. We find there could be a (large)
enhancement of the (effective) string tension when the energy density at the
center of the string is (much) larger than twice the brane tension. We also
point out a new way to evade the cosmic string problem when the energy density
at the center of the string approaches twice the brane tension. These findings
could have experimental and theoretical implications for searching for cosmic
strings on the brane, in particular for cosmic strings generated after
inflation (such as D-term inflation) on the brane.
