Nikolaj Ehlers and Jesperi Kotkaniemi scored, and Pyotr Kochetkov made 22 saves for the Hurricanes (7-1-1). Shayne Gostisbehere had two assists.
Mark Scheifele and Alex Iafallo scored, and Clay Stevenson made 34 saves for the Jets (4-2-2), who have lost three of four (1-2-1).
Ehlers scored the go-ahead goal to make it 3-2 with his first of the season at 6:43 of the third, beating Stevenson with a slap shot from the high slot on the power play.
Scheifele gave the Jets a 1-0 lead at 4:23 of the second period, creating a turnover in the Hurricanes zone and beat Kochetkov with a backhand.
Jankowski tied it 1-1 with a power-play goal at 8:19, with a shot from the low slot. He has six goals in nine games this season after he had 11 in 68 games last season.
Iafallo scored at 10:59 for a 2-1 lead. Adam Lowry stole the puck from Kochetkov, who was out of the net to play the puck, and set Iafallo for a tap in.
Kotkaniemi tied it 2-2 at 16:50, tipping a Gostisbehere point shot.