I was asked to solve this problem, and the answer key shows this:
I'm not sure what's going on here, but it looks like some sort of a rearrangement and reduction. Is it an internal reaction between the ether and the alkene?
This is an example of the Claisen rearrangement. It is basically the oxa-analogue of the Cope rearrangement. The Claisen rearrangement can occur with aromatic or non-aromatic allyl vinyl ethers. The reaction mechanism involves a concerted, intramolecular, [3,3]-sigmatropic rearrangement. In the aromatic case, the rearrangement is followed by a proton shift (keto-enol tautomerization) to yield the final product with the aromaticity restored.
Here's a diagram of the aromatic Claisen rearrangement
Here's a diagram for the non-aromatic counterpart.