Sárika /SHAH ree ka/ is a nickname for the Hungarian names Sarolt, Sarolta, Sára and Sári. The first two names are Turkish in origin, and may come from a word meaning "ermine." The latter two are forms of the Hebrew Sarah meaning "princess."
Sarika has another origin-- in Sanskrit it means "parrot, myna bird" and is the name of a well-known Indian actress.