On the other hand if you take your time to get to know the particular temperaments of your Oscars, you might find more often than not that Oscars are way less aggressive than their reputation suggests.
Huge size discrepancies can be a serious disadvantage for the smaller fish, and as a rule of thumb it is wise not to put two Oscars of way dissimilar size in the same tank. A DIY tank divider with easy to handle egg-crate might do the work, make sure you attach it firmly, Oscars are very strong fish.
When I brought home my second Tiger Oscar, it was 1.5" smaller than the other one. At first the big one went after the newly arrived big time so I had to split them. Once I manage to place them together properly, roles were inverted, and the smaller one dominated the big one. It turned out that the big guy was indeed a big gal, and the small fellow turned to be the man in the tank. They are always together, already paired-off, spawned, and attempted to raise their first fry.
I was very lucky to get, by pure chance, two young oscars that happened to be female and male, and that decided to pair-off; although they didn't have other options to choose from.
Pepe
Santo Domingo