Bringing my guitar across country via Airplane?

Question

I'm going to be moving in with my Fiance and I want to bring my guitar.

However I don't have a case for it and it won't fit in my Fender bag.

Can I bring it on the plane with me?

It's an Alexi laiho spin off limited edition:

http://www.guitarsatbmusic.com.au/esp/guitars/sigseries/laiho/images/alexi-200_blk.jpg

To clarify: Can I carry it with me onto the plane like on my back or soemthing, and just keep it with me at the seat? No bag or case.