We investigate the integrability of cosmic strings in Bianchi III spac
etime using a symmetry analysis. The behaviour of the model is reduced
to the solution of a single second order nonlinear differential equat
ion. We show that this equation has a rich structure and admits an inf
inite family of solutions. Our class of solutions extends special case
s previously obtained by Tikekar and Patel [Gen. Relativ. Gravit. 24,
397 (1992)].