Verbs like "go" and "come" which can be followed by another verb directly?
Solution 1:
Bare infinitive are placed after certain verbs like "please, let, can, bid, dare," and certain verbs of perception like see, hear etc. Auxiliaries are also used in the same fashion. However, they don't create the impression as in the post.
The examples here are found more in spoken English than in the written English. That day is not far off when the usage referred to would earn a name in grammatical vocabulary. Until such time we are more inclined to call such usage a 'kind of invitation/ command/ request' very much in the nature of imperative mood; only difference is that two sentences are joined without any linker, not even a marker and not confirming to any known rules.