Um, paleontologists deal with fossils. You're looking for archaeologists.

As I have recently compiled a list of all shipwrecks discovered in Europe between 1 and 1500 AD you can find it here, I can state that we have not found any Viking ships in the ocean, burnt or not. There are many reasons for this, not the least of which are the fact that the northern Atlantic is ideal for neither wreck preservation nor research dives.

Archaeologists have, however, discovered many Viking boats which, due to a change in funerary practices, were buried rather than set adrift. The most famous of these is the Sutton Hoo burials.

See:

• Angela Care Evans, ed., The Sutton Hoo Ship-Burial (London: British Museum Publications, 1975).
• Charles Green, Sutton Hoo: The Excavation of a Royal Ship-Burial (New York: Barnes & Noble, 1963).

Very few. From what I have read, the burning boat was fairly rare to begin with. The only example is the ibn one, however you have to remember that was for a chief, not a normal dude. A ship, even a small boat would be an expensive thing to just burn rather than continue to use. So, there would be very few of the ship-burnings to begin with.

There are other literary examples of just normal cremation, which would leave very little remains.

There a whole pile of howes and tumulus in literature of the period and archelogically. basically, a mound of dirt over a person, sometimes lined with rocks. The burials held grave goods and are very interesting to look into as historians.. or well, even just being humans.