  From the Polyakov string action using a conformal gauge we construct a
three-spin giant magnon solution describing a long open string in AdS_5 \times
S^5 which rotates both in two angular directions of S^5 and in one angular
direction of AdS_5. Through the Virasoro constraints the string motion in AdS_5
takes an effect from the string configuration in S^5. The dispersion relation
of the soliton solution is obtained as a superposition of two bound states of
magnons. We show that there is a correspondence between a special giant magnon
in AdS_2 and the sinh-Gordon soliton.
