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We find an azimuthal-angle dependent approximate wave like solution to second order on a warped five-dimensional manifold with a self-gravitating U(1) scalar gauge field (cosmic string) on the brane using the multiple-scale method. The spectrum of the several orders of approximation show maxima of the energy distribution dependent on the azimuthal-angle and the winding numbers n of the subsequent orders of scalar field. This breakup of the How to cite this paper: Slagter, R. Open Accessdoi:10.4236/jmp.2017.82015 fatcat:lt7pytfxrvg65mulegxbiyqzam