Couture made it 3-2 at 16:31 on a power play. It was his fifth goal in six games.
Adam Pelech tied it 3-3 19 seconds later, at 16:50, after the Sharks turned over the puck in the neutral zone.
"Everyone stepped up really well," San Jose defenseman Jake Middleton said. "Nice to win one too. Really nice. This is the first time I've heard music after [in the dressing room] in seven games and I couldn't be happier."
NOTES:Sharks defenseman Nicolas Meloche left in the second period after being elbowed in the head. He will be reassessed Friday, Boughner said. ... San Jose forward Ryan Dzingel played his 400th NHL game, his second with San Jose after being claimed on waivers. ... Parise has scored 831 points (400 goals, 431 assists) in 1,107 NHL games in 17 seasons with the Islanders, New Jersey Devils and Minnesota Wild. … Islanders forward Oliver Wahlstrom had one shot and one hit in 12:11 after missing two games with an upper-body injury. … Barzal has scored seven points (one goal, six assists) in the past six games. … Chara tied forward Mark Recchi for seventh in NHL games played. … Chara was selected by the Islanders in the third round (No. 56) of the 1996 NHL Draft and made his debut Nov. 19, 1997. He has eight assists in 44 games this season and has scored 674 points (207 goals, 467 assists) in the NHL. Chelios played 26 NHL seasons for the Montreal Canadiens, Chicago Blackhawks, Detroit Red Wings and Atlanta Thrashers. His last game was April 6, 2010 with Atlanta.