maṇir yathā vibhāgena nīla-pītādibhir yutaḥ rūpa-bhedam avāpnoti dhyāna-bhedāt tathācyutaḥ

manir yatha vibhagena
nila-pitadibhir yutah
rupa-bhedam avapnoti
dhyana-bhedat tathacyutah
"The infallible Personality of Godhead can manifest His body in different ways according to different modes of worship, just as the vaidurya gem can manifest itself in various colors, such as blue and yellow." Each incarnation is distinct from all the others. This is possible by the Lord's inconceivable potency, by which He can simultaneously represent Himself as one, as various partial forms and as the origin of these partial forms. Nothing is impossible for His inconceivable potencies.
Krsna is one without a second, but He manifests Himself in different bodies, as stated by Narada in the Tenth Canto of Srimad-Bhagavatam: