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Chrome has both 'Chrome' and 'Safari' inside userAgent string.
Safari has only 'Safari'.

So this works:

var is_chrome = navigator.userAgent.indexOf('Chrome') > -1;
var is_explorer = navigator.userAgent.indexOf('MSIE') > -1;
var is_firefox = navigator.userAgent.indexOf('Firefox') > -1;
var is_safari = navigator.userAgent.indexOf("Safari") > -1;
var is_opera = navigator.userAgent.toLowerCase().indexOf("op") > -1;
if ((is_chrome)&&(is_safari)) {is_safari=false;}
if ((is_chrome)&&(is_opera)) {is_chrome=false;}

Usage:
if (is_safari) alert('Safari');

Or for Safari only, use this :
if (navigator.userAgent.indexOf('Safari') != -1 && navigator.userAgent.indexOf('Chrome') == -1) {alert('Its Safari');}



The following identifies Safari 3.0+ and distinguishes it from Chrome:

isSafari = !!navigator.userAgent.match(/Version\/[\d\.]+.*Safari/)


Another:
$.browser.safari = ($.browser.webkit && !(/chrome/.test(navigator.userAgent.toLowerCase())));
if ($.browser.safari) {
    alert('this is safari');
}