A bstract We study rigidly rotating strings in the ? -deformed AdS ~(3)× S _(3)background. We find out two classes of solutions corresponding to the giant magnon and single spike solutions of the string rotating in two S ~( ? )_(2) subspace of rotations reduced along two different isometries. We verify that the dispersion relations reduce to the well known relation in the ? → 0 limit. We further study some oscillating string solutions in the S ~( ? )_(3) subspace.
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