Hosts South Africa bounced back from the 113-run thumping in the series opener by inflicting a seven-wicket defeat on India to level the three-match series here.
Hayden and Philander will replace the pair of Misbah ul Haq and Waqar Younis who resigned earlier this month.
Vernon Philander's brother Tyrone was shot dead near his home in Cape Town.
Somerset announced the cancellation of the Kolpak deal with former South African all-rounder Vernon Philander.
With former captain Graeme Smith appointed as acting director of cricket and former wicketkeeper Mark Boucher appointed as coach, Philander said that there is hope for a turnaround but it is too late for him to reconsider his decision.
Philander, 34, has played 97 matches across all three formats, taking a total of 261 wickets since his debut in 2011, before this game.
South Africa was all out for 274 in its second innings on the fourth day at the Wanderers, way off its world-record target of 466.
Philander received the penalty for his celebration after dismissing England's Jos Buttler on the second day of the ongoing fourth Test between the two sides at the Wanderers
Jos Buttler was found to have breached Article 2.3 of the ICC Code of Conduct for Players and Player Support Personnel, which relates to "use of an audible obscenity during an international match".
The stump mic picked up Jos Buttler launching an angry tirade at Vernon Philander after he appeared to get in the way of a throw to the wicketkeeper.
Philander recently announced his intention to call it a day from the international cricket after the ongoing series with England.
South African all-rounder Vernon Philander announces retirement from all forms of international cricket.
In response to India's 502/7 declared, South Africa exceeded expectations by scoring 431 in their first innings. At stumps on day four, they were 11 for one, needing another 384 runs for an improbable victory.
It will be first Test series for South Africa since the retirements of experienced players such as Hashim Amla and Dale Steyn.
On Thursday, Steyn bowled a fiery unbroken 10-over spell with speeds constantly in the high 140s.
South Africa lost seven wickets for 33 runs to be bowled out for 262 but Vernon Philander struck twice to reduce Pakistan to 17/2 at stumps on day one of the first Test.
Australia's defeat goes down as the heaviest by any team in terms of runs in Tests since 1934, and the fourth heaviest ever.
The Proteas pacer will remain under suspension unless the commissioner permits him to play in the third Test, which will commence from March 22 at Newlands, Cape Town.
Australian captain Steve Smith made 56, his fifth straight score of 50 or more in Tests, but his fall to spinner Keshav Maharaj before tea was the biggest moment of the day of the first Test for the hosts.
The 32-year old pacer added that the hosts will not lower their guard in the third Test against India starting in Johannesburg on Wednesday as they eye a 3-0 series whitewash.
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