Eros greatly disapproved of Kratos' killing spree of the great Pantheon one by one. He knew he was no match for the Fallen Spartan so he attempted to buy Kratos' favor by gifting him his most favored pet, the Sulhana Delphinim.
The beautiful magenta steed was born of a coupling of a lovely Sea Nymph in the form of a swan and one of the followers of Aphrodite. Sulhana can and does fly. Sporting a thirty foot wingspan, it takes great pleasure in diving and playing in the air. It's happy chirping song is renowned for lulling victims into a deeply powerful trance of love. Those affected by the Sulhana-song become Love zombies, which can be some of the most dangerous creatures to deal with, for a person in love knows no bounds.
Sulhana Delphinim lives close to the shore forever diving and gliding along the briny surf, floating on the air currents just above the waves like a seagull or frigate. It eats fish and small sea birds as it flies happily over the waves and it can pump it's powerful wings to take it high into the clouds, where it playfully spins and prances it's happy go lucky existence.
Of course, Kratos was disgusted with the 'weakness' displayed by the frightened Eros in his gifting, but far more infuriating for the Spartan was the chirping gaudy flying creature. It's cuteness so enraged the fallen god, that he tore it in half from the jaw, rending the beautiful purple and pink flesh into nothing more than rainbow colored chum. Kratos punished Eros for his candor by leaving the young god of love in his Masturbatorium looking like a pin cushion having been penetrated by every single one of his arrows... and his bow.
BTW Kratos and God of War are totally copyright and trademarked SCEA Sony of America.