The Alfvén wave Cascade (AC) is known to exist in plasma configurations with shear reversal and to be localized at the shear reversal point. However, when the core shear is > 0 a core-localized Alfvén wave cascade can exist at r/R0 < 0.2. This core-localized AC was found to exist for a narrow range of toriodal (n = 1, 2) and poloidal (m = 3, 4) numbers and even then only for specific values of q on axis. Due to the sensitivity of the mode existence on the q profile and the fact that only the low n and m modes were found to exist, it is believed that most observed ACs to date have not been the core-localized AC but instead the reversed shear AC.