Modulated compact-like pulse signals in a nonlinear electrical transmission line: A specific case studied

Abstract

The nonlinear electrical transmission line (NLTL) with intersite nonlinearity, recently introduced by Kenmogne and Yemélé is reexplored, with a particular attention carried on their obtained extended nonlinear Schrödinger (ENLS) equation, that is the basic NLS equation with additional nonlinear dispersive terms. Through the dynamical studies and analysis of equilibrium points it is shown that in the absence of linear dispersion term, a new solution for the ENLS equation is found, that is the envelope bright solitary wave with compact support. Analytical criterion of existence of this compact bright enveloped soliton is derived, and its stability is confirmed through numerical simulations of the exact equations of the network. Finally, some potential applications in communication systems are suggested.