General:
* Heavy: Due to their massive size and weight.
* Slow: Their movement is often deliberate and unhurried.
* Steady: They tend to move with a stable and balanced gait.
* Powerful: Their strength is evident in their stride.
* Graceful: While not as agile as smaller animals, pachyderms can exhibit surprising grace in their movement.
Specific to certain actions:
* Trumpeting: A loud, resonant sound made by elephants, often associated with excitement or warning.
* Charging: An aggressive and rapid movement, often used for defense or attack.
* Wallowing: A leisurely activity where they roll in mud or water.
* Shambling: A slow and clumsy walk.
* lumbering: A heavy and slow gait.
* Plodding: A steady and determined walk.
Figurative:
* Majestic: Their size and power can inspire a sense of awe.
* Ancient: Their slow movement evokes a sense of timelessness.
* Earthly: Their presence seems to connect with the earth itself.
The specific adjectives you choose will depend on the context and the pachyderm in question.