A friend with a Terra gets a weave at about 100kph + ... not that many of these bikes at this end of the pond ... is this a common problem? Possible fixes other than trying tyre pressures etc.
Mine is the same. If I take one hand off of the bars it stops... Also, if I'm loaded up for camping with 40lbs or so of gear on the back it completely goes away. I thought my continental TKC 80's had something to do with it but I've been all over with pressures and it doesn't change. The fact that weight affects it though tells me a change in the rear preload or possibly changing the position of the front fork tubes (raising or lowering) could tune this out?? I've just learned to live with it. I'm sure there's a lot here regarding this issue as it's pretty common.
Actually if the rear spring is too soft and/or the rebound damping is too high and the preload is high, any bike will get a weave if it hits a bump. I call it the preload blues. First discovered it in the beginning of the eighties and once racing recognised it again many times. Especially as for a very long time Jap motorcycles were sprung way too soft. I is recognized by a sort of rear of the bike waving around then settleing down and the fast you go the longer it takes to settle.
Sit a little further back on the seat and the shaking will stop. The bike needs weight on the rear wheel.
I seem to remember that more than one owner found his wheels needed truing and balancing, which solved the problem.