Yeah, to the best of my knowledge you don't transfer the visa. What I've known people to do is travel with the expired passport and present it at immigration. That sounds risky to me since they need to stamp the valid passport on entry to the country, but the 2 people I know who've done it have done it successfully. I am not sure what was said (if anything) at immigration, maybe I can ask.
What another friend of mine did was when he reapplied he brought the expired passport with the valid visa in it in addition to the other information he had to present. They inspected the passport and his travel habits and then they cancelled the one in the expired passport and issued a new visa in the machine readable one.