Is this a standing wave? What is it?

[black phantom]

Hi,
I am trying to figure out how to mathematically described a wave or a pulse, I do not actually know what to call it. I will try to describe it - a particle shown like a circle with a tsunami type wave going around the particle. Please help me define something like this mathematically.

 

[davenn]

hi black phantom

do you mean like this ? ...

the maths of that isn't my forte, but if that's the motion type you are after, I'm sure there's a few much brighter than me, maths guys, that will help you further :)

Dave