Steady Propagation on Nonlinear Transmission Lines

Many qualitatively nonlinear distributed systems are observed to support wave propagation which proceeds with constant velocity and undistorted shape. One approach to the investigation of these systems is to assume steady propagation at an unknown velocity and then determine the modes of propagation which can occur. The nature of these dynamic steady-state (d.s.s.) solutions is discussed for three types of distributed ladder transmission lines: the lossless line, the distributed amplifier and the neuristor. Necessary conditions are discussed for the stability of d.s.s. solutions on lossless lines described by a Lagrangian density function, saturated amplifying lines and neuristor lines.