I think it's entitled "What to expect when you don't do the rinse part of a blue-rinse".
But, if you go to her profile page: http://www.livejournal.com/allpics.bml?user=solar_angel
You'll see it's entitled "illyria".
Googling that keyword in images brings up "Results 1 - 20 of about 66,800 (0.12 seconds) "
The first image links to :http://www.internationalhero.co.uk/i/illyria.htm
The next link I saw that looks like a DVD cover leads to http://www.comixfan.com/xfan/forums/showthread.php?t=37611
... ANGEL SPOTLIGHT: ILLYRIA
"Presenting an all-new series of Angel one-shots focusing on different members of the supporting cast. Each issue will be presented by a different creative team. First up, Peter David (Spike: Old Times) and Nicola Scott focus on Illyria—a goddess without worshippers, existing in a world not her own, surrounded by humans whose emotions she is trying to comprehend."
How this ties in with solar's own Id I don't know - maybe she identifies with the character, maybe she loves the plot, maybe the styles nice, maybe - it's just a cool icon to use.
I have my own opinions - but they're a secret. =P