Three-spin giant magnons in AdS5 x S5

From the Polyakov string action using a conformal gauge we construct a three-spin giant magnon solution describing a long open string in AdS5 x S5 which rotates both in two angular directions of S5 and in one angular direction of AdS5. Through the Virasoro constraints the string motion in AdS5 takes an effect from the string configuration in S5. 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 AdS2 and the sinh-Gordon soliton