Traveling in Germany can be your ruin. The regular costs for train-tickets are sometimes very hight.
But There are some possibility that makes your travel payable.
You should check out the special offers of the Deutsche Bahn or other public transports.
If you are on tour with your family, friends or any group, check out the costs for the group, so you may save a lot of money.
You can go by Bus – Fernbus can be very economic. It´s worth comparing several bus-lines. German bus-lines in test: www.test.de/Fernbusse
You can find somebody to take you with him/her in the car: www.blablacar.de
Scout out the region
You can find a “Länder-Ticket” in many regions, that allows you to travel the whole day in a certain area.
To travel through Saarland and Rheinland Pfalz and the region around it, check out Saarland-Ticket.