(transitive) to calm, to still (to limit and lessen in motion and disturbance)
(transitive) to calm, soothe, assuage, to ease, to appease, to quell, to allay, to settle, to relieve (to make lessen in intensity)
(transitive, figurative) to defuse (e.g. a situation or problem, tension or conflict, a crisis)
(transitive, figurative) to quench, to quell (one's thirst)
(transitive, figurative) to cool
(transitive) to talk down, to talk off the ledge
(intransitive) to subside, abate
(intransitive) to steady (often used when talking to an animal one is riding like a horse)
(reflexive) to calm down, to settle down, to quiet down, to calm oneself
(reflexive) to cool off, to cool it, to chill, to chill out
(reflexive) to subside