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We present a detailed study of the pulsating string solutions in AdS3 x S3supported by both RR and NS-NS fluxes. This background has recently been provedto be integrable. We find the dispersion relation between the energy,oscillation number and other conserved charges when the NS-NS flux turned on issmall. We further discuss the fate of the string solutions in pure RR and NS-NScases.

A note on oscillating strings in $AdS_3 \times S^3$ with mixed three-form fluxes