Virat Kohli is a fine batsman, but he's also one who is overly hyped based on his 5 Test Match hundreds in Australia and accumilated this reputation amongst his followers of being a batsman who is a terrific away from home in challenging conditions. We've seen Kohli struggle on pitches with a bit of lateral movement and ever since that series in England he has rarely been tested. There is no better batsman in beautiful batting conditions which is why he is often called the Motorway King Kohli.
We will discuss the nature of the wicket where Kohli scored each of his hundreds in Australia, lets proceed.
116 vs Australia at the Adelaide Oval in 2012
It was a blazing hot day in Adelaide and conditions for batting were spectacular, this was confirmed on commentary by Tom Moody and Tony Greig; for anyone who watched the Test can also confirm this.
Michael Clarke won the toss and Australia chose to bat. "We'll have a bat, thank you," says Clarke. "It's 36-37 [degrees], it's going to be a fantastic batting track."
At the end of the first day India found themselves on 61/2 after Clarke had declared. The pitch had been brilliant to bat on all day and the following morning the wicket still looked fantastic from a batting perspective and the Motorway King Kohli would cash in to register his maiden Test hundred.
115 and 141 vs Australia at the Adelaide Oval in 2014
It was another beautiful day and wicket was a belter of a track, Clarke would again win the toss and elect to bat first. "The wicket looks fantastic, I don;t think I've ever seen a ground that looked as good as this," says Michael Clarke
"It's a pleasure for me, my first Test hundred was on this ground. Very special for me," says Kohli who was licking his lips at the idea of making use on a batting paradise of a pitch.
In India 1st innings their batting line up was a under some pressure due to the big total AUS put on but there were no demons in the pitch and Virat Kohli would make full use of the wicket. In the 2nd innings he'd casually make 141, admittedly it was an impressive knock given the rough which Nathan Lyon could exploit but the wicket itself was more Indian then Aussie, what we learned was that Kohli is okay against spin but then again that's of no surprise because you expect that with Indian batsman, even Ashwin is not so bad.
169 vs Australia at the Melbourne Cricket Ground in 2014
The drop in pitch for this Test was hard and incredibly flat and Australia would elect to bat first, conditions would remain favourable for batting when India would get their turn on the wicket and Kohli would make 169; it might have been a flat wicket but he deserves credit for the knock he played.
147 vs Australia at the Sydney Cricket Ground in 2015
Sunil Gavaskar doing the pitch report would say that it was a bat-first surface, on a pretty hot day. Just a hint of grass, and expected to turn later. After the Australian innings ended, India had about 25 overs to survive. India lost Vijay third ball of their innings but Rohit and Rahul have put on an unbeaten 71 after that. Australia put in a good shift but the pitch remained excellent for batting barring some turn and bounce for the spinner.
The next morning Ganguly would say "Still a very good batting surface. Not much rough yet, though there are some drier patches" And when Kohli got his turn he would make 147 making full use of the conditions.
Conclusion
While there is no doubt that Virat Kohli is a decent Test Bat and his performances in Australia were great. However, what is misleading is this idea that he had it tough in Australia and the conditions were against him. I'd describe the wicket during that series as good A/R Test pitches and many a time they replicated what you'd find in the subcontinent, great in the first half and then start to deteriorate providing the spinners some help. I also don't think that particular series put to bed his horror show in England as many suggested.
Discussion
In light of this analysis, we can safely say that Kohli was lucky enough to feast on Australian pitches good for batting but we must give credit where due as it was still an away series. It will be interesting to read some of your posts and the extent to which you agree or disagree with me but I hope that we can be objective.