How to move marker along routing path?

I want to move marker along curved path.I do receive LatLong every minute. for example A, B are received LatLong locations. I need right way to make it happen. I could move using leaflet.animateMarker

but it moves from A point to B which is bad when the path is curved. curved path. Please advise if you have any idea about how to move the marker along curved path? thanks in advance!