Compact-like pulse signals in a new nonlinear electrical transmission line

A nonlinear electrical transmission line with an intersite circuit element acting as a nonlinear resistance is introduced and investigated. In the continuum limit, the dynamics of localized signals is described by a nonlinear evolution equation belonging to the family of nonlinear difiusive Burgers' equations. This equation admits compact pulse solutions and shares some symmetry properties with the Rosenau-Hyman K(2;2) equation. An exact discrete compactly- supported signal voltage is found for the network and the dissipative efiects on the pulse motion analytically studied. Numerical simulations conflrm the validity of analytical results and the robustness of these compact pulse signals which may have important applications in signal processing systems.