The 'Back to Karkand' DLC patch added the following five trophies to the Battlefield 3 trophy set.

Trophy	How to unlock
Complete Warrior (Silver)	Got a kill with the following weapons in a single life: Assault Rifle, Jet, Tank.
Gunslinger (Bronze)	Got 10 kills with each of the ten Back to Karkand weapons.
Jaws (Bronze)	Took a swim in the Oman Hotel swimming pool.
Like a Boss (Silver)	Got a kill with the skid loader.
Third Tour (Bronze)	Got a kill with each of the following vehicles: BTR-90, DPV and F-35.