Are there direct flights from Shanghai to Dunhuang in September?

We would like to spend 13 - 20 Sept 2013 in Dunhuang.
1. We need to get from Shanghai to Dunhuang
2. We need to get from Dunhuang to Nanjing (we have 1-2 days to do this trip)
3. On 24 Sept we need to get to Xiamen.
Thanks for help