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

Désiré Ndjanfang (1) , David Yémélé (2) , Patrick Marquié (3) , T. C. Kofane (4)

1 Laboratoire de Mécanique
2 L2MSP - Laboratoire de Mécanique et de Modélisation des Systèmes Physiques
3 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]
4 Laboratoire de Mécanique

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 diffusive 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 effects on the pulse motion analytically studied. Numerical simulations confirm the validity of analytical results and the robustness of these compact pulse signals which may have important applications in signal processing systems.

Domaines: Formation de Structures et Solitons [nlin.PS]

Désiré Ndjanfang, David Yémélé, Patrick Marquié, T. C. Kofane. Compact-like pulse signals in a new nonlinear electrical transmission line. Progress In Electromagnetics Research B, 2013, 52, pp.207-236. ⟨hal-00870835⟩