How to start up a Lockwood-Hiller Valveless Pulse Jet?
The key to the operation of a valveless pulse jet is the oscillating shock wave created by repeated explosions in the combustion chamber. In this video they talk about using a spark plug to trigger these explosions initially, and once the engine is running the process is self sustaining.

Looking at your video I don't see any connections to the engine except the fuel pipe, and you seem to be attempting to start the engine by pushing some burning material into the combustion chamber. This will not create an explosion, so the shock wave that keeps the engine running won't be created either.