To be honest that's a bit of a tricky question to answer descriptively, and easiest answered through experience. However, since that's not an option at the moment (as is often the case!) I'll do my best to tackle it.
The Swamp Master is essentially the same concept but a little shorter and with the mass slightly less concentrated in the nose. Different handle shape as well. However, it offers many of the same advantages (save the compounding effect of the extra length) as the Viking in a smaller package. The kukri has the advantage of the longer impulse during the delivery of a blow due to its forward offset, resulting in slightly higher energy transfer for its weight and distal mass distribution. The angular presentation to the target also increases the virtual sectional density (mass concentrated over a surface area) and "stretches" the edge "thinner" much in the way that you can climb otherwise unscalable hills by zig-zagging up them. The Viking provides magnified tip velocity and has a highly end-concentrated mass that makes for a very potent sweet spot. Most of the work is done with the last 8" of the blade as a result, but the efficiency of the work is increased by this proportional relationship. The partial back edge on both the Viking and Swamp Master provides a sickle-like edge for lightweight and cut-resistant targets because it prevents the target from sliding off of the edge and in fact increases the applied pressure to the target when it attempts to do so. The Bolo has the widest sweet spot of the three which makes a greater proportion of the blade the primary working region. This can be useful for certain applications where using a different portion of the blade is more manageable for one reason or another. The unsharpened false edge on the spine at the tip is useful for grubbing work like chopping roots etc.
None of that was worded nearly as well as I'd like, so let me know if it was confusing!