I don't think you can get an axe in Pokemon Black/White. :(
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You wait for the event.
Unfortunately you cannot obtain Reshiram (Dragon/Fire) in Pokemon White, rather you can obtain Zekrom (Dragon/Electric). In my opinion, Reshiram is better, so i got Pokemon Black.
you cant
Unless you cheat, you can only obtain Reshiram in Pokemon black. You will need to trade to Pokemon black if you have white for zekrom to be in Pokemon black.
It is in White Forest when Shane is the resident. You'll have to use Entralink and connect to Pokemon Black. Go to Black City and you'll be able to obtain it by a resident.