Depends on your definition of solo PVP.. I run solo all the time (by that I mean ungrouped).. But sometimes just going where the crossed swords are (zerg-surfing), sometimes re-taking resources (or taking them) for a bit of small-scale, sometimes just checking on keeps that *may* be attacked..
If you're just looking for uninterrupted 1v1's... Duelling probably the only way, but ofc, everyone's gonna be built for that - mostly.
Minalan owes me a beer.
PC EU Megaserver
Minie Mo - Stam/Magblade - DC
Woody Ron - Stamplar - DC
Aidee - Magsorc - DC
Notadorf - Stamsorc - DC
Khattman Doo - Stamblade - Relegated to Crafter, cos AD.
I solo a lot. It really depends on what you want to do. Personally I spend most of my time taking resources. That usually leads to some good fights with gankers.
I actually had a 10 minute 1 on 1 with another DPS Magplar last night. I got him the first time in short order but he got me when he came back after at least 10 full minutes of battle. Great fight.