Are the supererogatory regular prayers obligatory for the traveler, and will they be recorded for him during travel if he used to perform them when not traveling?

If a servant falls ill or travels, he is credited with the same reward as he used to do when he was a resident and healthy. This indicates that a traveler is credited with the supererogatory acts, Sunnahs, and acts of obedience that he used to perform while at home.