Identifying rearrangement reaction?
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.