Improved stability for pulsating multi-spin string solitons

We derive and analyze, analytically and numerically, the equations for perturbations around the pulsating two-spin string soliton in AdS5×S5. We show that the pulsation in S5 indeed improves the stability properties of the two-spin string soliton in AdS5, in the sense that the more pulsation we have, the higher spin we can allow and still have stability.