Mathematical Model of a 50Ohm System

Is there a mathematical model for a signal generator + 50 Ohm Transmission Line + 50 Ohm termination ?

There are many mathematical models corresponding to many different ways to describe the said circuit mathematically. The answer will be also different if you consider a real transmission line with losses in contrast to an ideal transmission line.

A simple but efficient model can be made using S-parameters.

So page 11 of the attachment?

Look at Telegraph Equations that are based on "Ordinary Differential Equations" of the Transmission Lines.

Thank you!