  We investigate giant magnons from classical rotating strings in two different
backgrounds. First we generalize the solution of Hofman and Maldacena and
investigate new magnon excitations of a spin chain which are dual to a string
on $R\times S^5$ with two non-vanishing angular momenta. Alowing string
dynamics along the third angle in the five sphere, we find a dispersion
relation that reproduces the Hofman and Maldacena and the one found by Dorey
for the two spin case. In the second part of the paper we generalize the two
"spin" giant magnon to the case of $\b$-deformed $\axs$ background. We find
agreement between the dispersion relation of the rotating string and the
proposed dispersion relation of the magnon bound state on the spin chain.
