  We study the classical spectrum of string theory on AdS_5 X S^5 in the
Hofman-Maldacena limit. We find a family of classical solutions corresponding
to Giant Magnons with two independent angular momenta on S^5. These solutions
are related via Pohlmeyer's reduction procedure to the charged solitons of the
Complex sine-Gordon equation. The corresponding string states are dual to BPS
boundstates of many magnons in the spin-chain description of planar N=4 SUSY
Yang-Mills. The exact dispersion relation for these states is obtained from a
purely classical calculation in string theory.
