COUGH NON STOP

Guys - I was down with flu in April for a week and have recovered. 3 weeks later and until today I am down with cough, the cough has been lingering for 2 weeks! It is very uncomfortable as I always have leakage when the cough gets too strong. I have been taking the medicine given by GP but it doesnt seem to work.. Any home remedy that can make me recover fast? There is no phlegm and no sore throat.. the cough is very dry cough and I just took my TDAP vaccine today