The Yang-Mills system of field equations which includes coupling to an SU(2
) scalar matter doublet is developed. It is shown that an SU(2) current for
a scalar matter doublet can be developed. The basic structure which fits t
he Yang-Mills system is somewhat different from the case of the scalar trip
let. Using this form for the scalar current, it is possible to write down t
he Yang-Mills system which couples to the scalar matter doublet. It is show
n that several sets of solutions to this system of equations can be obtaine
d.Mathematics Subject Classification (1991): 81T13.