It's an acid, which softens your enamel. You should ideally rinse with something that remineralizes the enamel, i.e. flouride.
You probably don't have to do anything special, your saliva is surprising effective at repairing trivial damage from minor acids as long as you give it time. Pounding acid after acid all day long is how you get in trouble.
Also, an effective drink after soda is unsweetened tea! The tea plant is extremely efficient at extracting fluoride from the ground and tea always has fluoride. Thats why consuming gallons of cheap tea can give you floridosis!
says the dentist? or says you?
after a check-up i was strongly recommended to stop taking soft drinks...no symptoms whatsoever but the teeth are weakening