What does pain look like in wave form?
I don't want to comment about the nature of electric signals in neurons (as I know only little about physiology and neurophysiology). But here is a short answer that may already help you.

Neuronal electric signals are called action potential. If you register the voltage at a given location on the axon of a neuron through time you will see something like this:



This picture shows one action potential. Of course when you feel pain it lasts for more than 5 milliseconds. In such case, if you record the voltage for a longer period of time you will just see a series of action potentials. You should have a look to the wiki page for more information.