Everyone who has once held a bat in hand seems to have an opinion on the Indian cricket team. So here's my two bit:
The reason why Indian batting order collapse after a great start involving Tendulkar is because Tendulkar is so good. This may seem to be a cock-eyed logic but hear me out ... Because Tendulkar is so good, and because he bats so effortlessly when he is in full flow, the rest of the batsmen in the dressing room think that the pitch is playing true and that it is a batsman's pitch. They ust be going, "Arrreee! Sachin has hit 3 sixes. Wow! I will go and smash the ball all over the place." Unfortunately, they get it wrong and they fall flat on their respective faces. The sad part is that there is no lessons learnt.
I think it was Rahul Dravid who got it right. In one of the interviews, given quite some time ago, he said something to this effect: Watching Sachin at the other end is a great experience. Of course, you need to be careful. You cannot play like him. So, you play your game.
So, here is my advise to the Indian batsmen: Recognise your strength and play to it. Let Sachin play his game. You play yours.