Corki is a really good pick in solo q. And here's why.

In lane, he is an absolute bully and easy to farm with, all because of his passive, which gives him a lot of damage at the start of the game. If you max q, you will be doing a lot of mixed damage to the minions and champions, so it's hard to build against. If you combo "The Big One" rocket with your q, you will be able to instantly burst your lane opponent to half hp (bot lane). Build triforce, infinity and phantom dancer, and you will have a lot of kiting potential as well as tons of damage.