This weekend when we were riding, apparently we rode into some sand, which didn't look deep at all.
We were going approximately 10 mph and we developed a very big wobble on the front end.
We were luckily able to ride through it and finally get the bike stopped without crashing by riding it out and finally when my husband thought it was going slow enough, he put a foot down, as did I.
Is there any known method of getting the bike to stop the wobble?
I have heard of a high speed wobble, but never a low speed wobble.
As Rudy (aka, Zona) notes, if the wobble went away after the sand incident, then there's a pretty good chance that it was an isolated incident caused by your encounter with the sand.
I can easily imagine a scenario where the front wheel hit the sand that caused a direction change of the front wheel / steering input that your captain had to counter. It's quite possible that the quickness of the steering change and countersteer reaction by your captain caused both of you to begin shifting your weight off center out of sync with each successive turn of the handlebars thereby sustaining the "wobble", if you will, until he brought the bike to a stop.
1992 Serotta Colorado II,Co-Motion Speedster, Giant Escape Hybrid, 1977 Schwinn Super Le Tour
We had a similar incident a few weeks ago while at Long Point Provincial Park in Ontario. We were looking for a cmp site cloer to the beach and the road "looked" OK but we went down into the sand and we dumped. Luckily we landed on soft sand!