The　similarity　transformation　and　direct　ansatz　are　applied　to　obtain　rogue　wave　solutions　of　nonlinear　Schrodinger　equation　with　varying　coefficients.　These　obtained　solutions　can　be　used　to　describe　the　possible　formation　mechanisms　for　optical　rogue　wave　phenomenon　in　optical　fibres.　Moreover　their　dynamical　behaviors　are　exhibited　for　chosen　different　functions.　This　will　further　excite　the　possibility　of　relative　researchers　and　potential　applications　of　rogue　waves　in　other　related　fields.