The Rangers also kept pace with the New York Islanders, who beat the New Jersey Devils 3-1.
Kulikov scored at 1:43 of overtime and the Panthers beat the New Jersey Devils 3-2 on Saturday.
He was a head coach in the East Coast Hockey League, and was also an assistant for the New Jersey Devils in 1995-96.
The Islanders took another step toward the postseason Monday night as Frans Nielsen set up two early goals and Evgeni Nabokov made 24 saves in a 3-1 win over the New Jersey Devils.
Showing signs of being pushovers no longer, the Sabres got timely goals and clutch saves, and they displayed resilience in pulling out a 4-3 shootout win over the New Jersey Devils on Saturday.
His tally was an overtime winner in a 4-3 victory over the Flyers, giving New Jersey a 3-1 lead in a second-round series the Devils eventually won in five games.
The Islanders and seventh-place Devils each have 39 points but New Jersey has a game in hand.
Not since they brought him out to East Rutherford to drop the puck for the home opener of the 1995-96 season, the one right after the New Jersey Devils won their first Stanley Cup.
On Monday night, in a loud reprise of the famous Rangers-Devils 1994 conference final, he shut out New Jersey 3-0 in Game 1.
Tlusty scored two goals in the third period and Cam Ward made 26 saves as the Hurricanes beat the Devils 4-2 on Tuesday night, snapping New Jersey's five-game winning streak.
By beating the Los Angeles Kings 2-1 on Saturday in Game 5 of the Stanley Cup Finals, the New Jersey Devils have done what seemed so improbable just five days ago.
WSJ: Devils Beat Los Angeles Kings 2-1, Extending Stanley Cup Finals to Game 6
Michael Del Zotto scored a short-handed goal and set up Rick Nash's game winner to lead the Rangers to a 3-2 win over the Devils on Tuesday night, moving them into a tie with New Jersey for eighth place in the Eastern Conference.
Elias stretched the Devils' lead to 2-0 with a minute left in the second period when New Jersey had a 5-on-3 advantage.
Ilya Kovalchuk capped New Jersey's three-goal first period with his NHL-leading fourth short-handed goal, and the Devils beat the mistake-prone Philadelphia Flyers 5-2 on Wednesday night.
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