They limped to 169 for six at stumps and the victory early on day four for England was all but a formality.
"We owe it to ourselves, we owe it to our fans around Australia to bounce back quickly and show a bit of pride in what we do for our country," Ponting said of the final test in Sydney.
"Although we can't win the Ashes, there's a good chance for us to level the series."
Strauss said England would be celebrating hard on Tuesday but be back fighting hard until the last ball in Sydney, however.
"We came here to win this series, we've retained the Ashes but it would be a very disappointing if we didn't manage to win the series."
Image: England players Kevin Pietersen, left, and Matt Prior celebrate after winning on the fourth day of the fourth Ashes cricket test match against Australia at the Melbourne Cricket Ground in Melbourne, Australia, Wednesday, Dec. 29, 2010.