There is no other term — just look at the photos: adoration. I’ve known these particular coyotes for a while now. They have a very close relationship: a mother and her two-and-a-half year old son. The jumping for joy, touching, wiggling and squiggling, hugs and kisses were absolutely overwhelming displays of affection — it lasted about 25 seconds. This greeting was an intensely demonstrative one, though there were no accompanying squeals and whining which often go along with greetings.
Almost all of the affectionate display came from the younger male. Mom seemed just as happy to see the son — after all, she is the one that came up to him; he had been standing there and eating — but hers was less demonstrative and much more of a solid and dependable Rock-of-Gibraltar affection. This is how I saw it, based on many hours of previous observations of their behaviors.
After this intense “greeting”, they both ran off together, and out of sight. It appeared to me that Mom had come to “fetch” the younger one — and he seemed ready to go with her, though, until she appeared, he seemed in no hurry to go anywhere. He had spent the previous hour hunting and eating a number of gophers. They both then headed for a denser growth area in order to “turn in” for the day. I did not see them again.