Virat Kohli believes India can now complete a sensational turnaround and win the Test series after pegging England back at Trent Bridge.

England still lead the series 2-1 after dominant victories at Edgbaston and Lord's, but India have momentum after a 203-run triumph in Nottingham - the third Test ending early on day five as Ravichandran Ashwin bowled the hosts out.

And now, with two matches remaining, India's aim is to win 3-2, despite having only registered seven Test wins on English soil.

"We definitely believe we can [win] if we play cricket like this," he said in the post-match presentation.

"If we didn't believe like this, we would not be 2-1 now. Many people would not have hope at 2-0. We just want to keep pushing forward and keep wanting to win."

And before assessing his team's performance, Kohli dedicated the win to the flood victims in Kerala.

"We want to dedicate this victory to the flood victims back home in Kerala. It's a tough time there and people are going through a lot," he said. "This is our bit we can do as the Indian cricket team.

"The victory was much needed at this stage of the series. To have a performance like that, so clinical in all three departments, was pleasing for me as captain.

"The management group is really happy with that and the players are proud of what they've done in this Test match as well. It was a complete Test match for us."

On his own personal impressive display, having struggled previously in England, Kohli added: "I wasn't really thinking about that, but it feels good to contribute to the team's scores."