You don't need to take medicine. Recommended: ginger+pear+rock sugar-drink with boiling water. A colleague of mine just drank it and coughed for two months. I ate a bottle of licorice tablets, drank two bottles of cough syrup and took anti-inflammatory drugs, and I was fine. Drink this for a week, depending on the severity of your cough, and drink it while it is hot after cooking. Also, don't eat anything during coughing, such as peppers, seafood, cold drinks, especially cold things. Oh, and pay attention when blowing the air conditioner.
I wish you a speedy recovery!