So we have basics that can't be explained. Prehaps a video? If they are as common as you believe we may just know what you're talking about.
Well, like I said, I could not find the videos (and I don't think I referred to the techniques as being all that common). I suppose, though, that I can try and explain them:
1. (defense against punch) Step back and grab both the wrist and the arm. Pull your opponent through and flip them into a throw. (this technique only uses the hands to throw - no hips, shoulders, etc.)
2. (defense against punch) Step back and grab the punching hand on the inside with one hand. Pull your opponent in while stepping back again and grabbing with your other hand; at the same time drop your center and twist your opponent's wrist to the outside to drop them to the ground. (this technique can also be done by stepping in and is often also used as a defense against a straight knife stab)
3. (defense against inside wrist grab) Grab your opponents wrist with the same hand that is being grabbed, then twist your body to face away from your opponent while maintaining your grip and simultaneously bring their arm next to your head. Grab their elbow with your other hand, drop your center and take them down to the ground. (usually followed with a punch or another striking technique)
Edit: Actually this third technique is demonstrated in this video at about 1:50 -
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