The only goal Danis allowed was a backhander by Frans Nielsen that gave the Islanders a 1-0 lead at 6:23 of the first period.
Murphy tied the score at 2:38 of the second period and Rolston put the Devils on top with a slap-shot goal on a power play with 6:20 to play in the second.
Patrik Elias, New Jersey's all-time leading scorer, returned to the Devils' lineup for the first time since having off-season surgery on his groin.
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