The partial differential equations typically used to describe the behavior of thransmission lines are:
Diff(e,x)=-R*i-L*Diff(i,t), Diff(i,x)=-G*e-C*Diff(e,t).
The first equation says that the voltage across the line drops according to the resistive and inductive drops distributed along the line. The second equation says that current decreases along the line according to the conductive shunting and capacitive charging.
If you include the effect of skin effect, R and L along the line increase as a function of frequency. For a particular frequency, it is easy, in principle, to find the additional resistance and reactance from skin effect.
If you want to see what happens with pulses on such a transmission line, you can find the fourier transform of the pulse, calculate the transfer function for each frequency, and then add all frequencies together to produce a solution.
MY QUESTION: Is there a way to add terms to the equations given above so as to include the skin effect but without having to calculate for each frequency? I am looking for a way to integrate the equations so as to propagate a pulse down the line.
Bill