Waves Amplification in Discrete Nonlinear Electrical Lines: Direct Numerical Simulation

We study the amplification of a pulse soliton in a discrete nonlinear electrical transmission line using negative nonlinear resistances and inductances linearly varying in space. The numerical simulation is used to solve the resulting set of discrete nonlinear differential equations in each case. In both cases, the dissipative effects of the medium in which it travels are compensated on a short distance of a doped domain. During the crossing of this doped domain, the wave conserves its pulse form and recovers its amplitude when coming out.