Jadeja, who suffered a concussion during the first T20 international, also sustained a hamstring injury which ruled him out of the first Test.
Blake Govers slammed a hat-trick as Australia routed India 7-4 in a high-scoring second hockey Test in Adelaide on Sunday.
Australia's in-depth planning to subdue Cheteshwar Pujara worked out well in the opening Test but spinner Nathan Lyon says it would be a massive challenge to keep the world-class batsman quiet through the remainder of the series.
Zaheer went on and lauded spinner Ravichandran Ashwin for his 4/55 in the first innings at the Adelaide Oval.
Kohli is now five points clear after Smith's knock of 36 in the Adelaide Test
Former Australia cricket team captain Mark Taylor has said that next week's rescheduled first Test against India would allow the nation's grieving cricketers to start moving on from Phillip Hughes's shock passing.
IMAGES from Day 4 of the 2nd Ashes Test Day-Night Test at Adelaide Oval on Sunday.
Australia took firm control of the day-night third Test on Saturday when they reduced South Africa to 194 for six at the close on day three, only 70 runs ahead of their hosts.
Ravichandran Ashwin dismissed Steve Smith in his first over, caught in the slips as the right-hander edged the delivery which went straight on, on Day 2 of the first Test.
Johnson sidelined for Aus tour of UK
Factbox on the second Test match between Australia and England, which starts on Saturday:
Cricket Australia chief executive James Sutherland believes there will be more day-night Tests in the future
After picking two wickets earlier, Bumrah capped an eventful day by facing 11 balls as the nightwatchman, ducking cleverly and blocking confidently to end with his wicket intact at stumps on Day 2.
Virat Kohli is well aware of the obsessive focus on him in Australia right now
Cheteshwar Pujara and Virat Kohli thwarted Australia in a diligent partnership to push India to a position of strength and a 166-run lead at the close of day three of the first Test.
India fast bowler Bumrah has achieved a career-high ranking of 33rd, after his three for 47 and three for 68 at Adelaide helped him to rise five places.
The fate of India's injured World Cup quartet of Rohit Sharma, Ishant Sharma, Ravindra Jadeja and Bhuvneshwar Kumar will be decided on February 7 when they undergo a rigorous fitness test ahead of the team's first warm-up game against Australia the very next day.
No sooner had the match ended, social media was abuzz with congratulatory messages for the team.
Former Australia cricketer Tom Moody feels India should have given a chance to in-form batsman Shubman Gill ahead of Prithvi Shaw in the opening day-night Test against Australia in Adelaide.
The Australian wickets suit Rohit Sharma's batting style and if he can see off the pacers with the new ball, the Indian vice-captain can conjure a big century in the third Test against Australia at Sydney, reckons former India batsman VVS Laxman.
The 24-year-old, who played his last Test against Bangladesh in Chittagong in September, has been included alongside regular spinner Nathan Lyon for the Jan. 4 match at the Sydney Cricket Ground.
Josh Hazlewood finished with a nine-wicket match haul as world champions Australia crushed a depleted West Indies by 10 wickets.
West Indies all-rounder Roston Chase and middle-order batsman Shamarh Brooks were on Saturday recalled to the squad for their two-Test series in Australia, while former captain Shivnarine Chanderpaul's son Tagenarine earned his maiden call-up.
Burns made his debut in the 2014 Boxing Day Test when Lehmann was Australia's head coach. The right-handed batsman has been Australia's first choice as opening batsman alongside David Warner.
On the cusp of another Australia tour where he hopes to cement his own comeback, Irfan Pathan speaks of his one-time captain, and the confidence Sourav Ganguly instilled in him.
India captain Virat Kohli questioned his team's batting mindset in the second innings after their embarrassing capitulation inside three days of the opening day-night Test against Australia on Saturday.
Statistical highlights from the third day's play of the first Test between India and Australia at the Adelaide Oval on Thursday.
Having gone down swinging in an enthralling Adelaide Test, Australia barely have time to pick themselves up off the canvas before another potentially bruising contest against a confident India in Perth.
'He is an exceptional young man who is highly regarded by the National Selection Panel not only for his fine performances with the bat but also his maturity and clear leadership potential'
The 30-year-old will now have the chance to soak up a first Test in front of family and friends as Australia look to push for a 2-0 series lead.
'We can't be happy with just one Test match. We will not be satisfied with just one Test. Yes we are happy about this victory but this is something we need to build on. We literally have nothing to lose'
Here are the lowest innings totals in Test cricket:
Australian paceman James Pattinson has said he was ready to seize his unexpected chance in next week's historic New Zealand third Test following the retirement of Mitchell Johnson.
The reticence of South Africa's players to participate in a day-night Test has resulted in Cricket Australia unable to confirm whether a pink-ball match would go ahead against the Proteas.
Images from the US Open men's singles first round matches, at Flushing Meadows, New York, on Tuesday.
Meanwhile, Australia skipper Michael Clarke, who was entangled in a war of words with Cricket Australia over his availability, is still a doubtful starter for the first Test following question marks over his fitness.
CWI also handed 25-year-old Barbados fast bowler Chemar Holder a franchise contract.
'All I would say to him is he's just got to have that belief in himself and get involved in the game and I guess have that presence'