Take a look at my script for curved lines:
http://curved_lines.overfx.net/
Here are the functions that I use:
function curved_line_generate(LatStart, LngStart, LatEnd, LngEnd, Color, Horizontal, Multiplier) {
  var LastLat = LatStart;
  var LastLng = LngStart;
  var PartLat;
  var PartLng;
  var Points = new Array(0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9);
  var PointsOffset = new Array(0.2, 0.35, 0.5, 0.55, 0.60, 0.55, 0.5, 0.35, 0.2);
  var OffsetMultiplier = 0;
  if (Horizontal == 1) {
    var OffsetLenght = (LngEnd - LngStart) * 0.1;
  } else {
    var OffsetLenght = (LatEnd - LatStart) * 0.1;
  }
  for (var i = 0; i < Points.length; i++) {
    if (i == 4) {
      OffsetMultiplier = 1.5 * Multiplier;
    }
    if (i >= 5) {
      OffsetMultiplier = (OffsetLenght * PointsOffset[i]) * Multiplier;
    } else {
      OffsetMultiplier = (OffsetLenght * PointsOffset[i]) * Multiplier;
    }
    if (Horizontal == 1) {
      PartLat = (LatStart + ((LatEnd - LatStart) * Points[i])) + OffsetMultiplier;
      PartLng = (LngStart + ((LngEnd - LngStart) * Points[i]));
    } else {
      PartLat = (LatStart + ((LatEnd - LatStart) * Points[i]));
      PartLng = (LngStart + ((LngEnd - LngStart) * Points[i])) + OffsetMultiplier;
    }
    curved_line_create_segment(LastLat, LastLng, PartLat, PartLng, Color);
    LastLat = PartLat;
    LastLng = PartLng;
  }
  curved_line_create_segment(LastLat, LastLng, LatEnd, LngEnd, Color);
}
function curved_line_create_segment(LatStart, LngStart, LatEnd, LngEnd, Color) {
  var LineCordinates = new Array();
  LineCordinates[0] = new google.maps.LatLng(LatStart, LngStart);
  LineCordinates[1] = new google.maps.LatLng(LatEnd, LngEnd);
  var Line = new google.maps.Polyline({
    path: LineCordinates,
    geodesic: false,
    strokeColor: Color,
    strokeOpacity: 1,
    strokeWeight: 3
  }); 
  Line.setMap(map);
}
Here is your html content + initializing script:
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<script type="text/javascript">
  var map;
  google.maps.event.addDomListener(window, 'load', initialize);
  function initialize() {
    /* Create Google Map */ 
    var myOptions = {
      zoom: 6,
      center: new google.maps.LatLng(41, 19.6),
      mapTypeId: google.maps.MapTypeId.ROADMAP
    };
    map = new google.maps.Map(document.getElementById('map_canvas'), myOptions);
    /* Add Sample Lines */
    /* Sofia - Burgas */
    curved_line_generate(42.68243562027229, 23.280029421875042, 42.488302202180364, 27.432861453125042,"#F00", true, 1);
    /* Sofia - Varna */
    curved_line_generate(42.68243562027229, 23.280029421875042, 43.19716750254011, 27.894287234375042,"#1a8809", true, 1);
    /* Ancona - Sofia */
    curved_line_generate(43.61221698671215, 13.458252078125042,42.68243562027229, 23.280029421875042, "#00F", true, 1);
    /* Sofia - Florence */
    curved_line_generate(42.68243562027229, 23.280029421875042, 43.73935229722859, 11.217041140625042,"#666", true, 1);
    /* Sofia - Athens */
    curved_line_generate(42.68243562027229, 23.280029421875042, 37.97884527841534, 23.719482546875042,"#ffa200", false, 2);
  }
</script>