What is desertion from a husband or wife and how to prove it

I totally agree with your well considered and judicial option for mutually agreeable settlement as also referred to the issue to the Mediation Centre by the Hon'ble Judge of Family Court who tried in vain for reconciliation between the couple. Whereas, the Petitioner who filed all the 3 petitions for divorce, child custody and maintenance demanded to be agreed in her favour. with the mistaken confidence and belief that Family Courts function as women-pro as also infused by her Counsel who does not want to lose his business, creating false hopes as a part of mind game.

I agree with your opinion too regarding Advocates. There is indeed a certain section of Advocates who do mislead clients and prolong litigation for their monetary benefits.  It is indeed true and rather unfortunate but i guess clients are responsible too for the same.  They prefer to go to an Advocate who would misguide them with false promises rather than an Advocate who  tells them the truth. 

In such a case then. there is no option but to litigate. No point in throwing in the towel when the other side is not ready for an amicable solution.  Let the wife realize on her own that the Court does not grant you what you want, rather more like a pittance of the same.  

Is it necessary for the husband to pay compensation to wife whose petition for divorce has been dismissed by the Court?

Compensation as in?