"Body language" is one kind of "non-verbal language".
It is inter-personal communication using body posture, facial expressions - smiles, frowns, grimaces, etc. - which give clear physical indications of a person's feelings or intentions to other people.
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Non-verbal language refers to forms of communication that do not involve spoken or written words, such as facial expressions, body language, gestures, and eye contact. It can convey emotions, attitudes, and intentions, and can complement or contradict verbal communication.
Verbal communication refers to speaking. Non-verbal communication refers to body language and communicating without speaking. Waving and smiling are both parts of non-verbal communication.