Unfortunately, neither this nonlinear capacitor nor the NLR with cubic nonlinearity introduced by Comte and Marquie  to compactify kink solitons may be used to create compact electrical pulse signal in the NLTL.
Let us mention that the NLR was introduced recently in NLTL for signal processing applications and more precisely for nonlinear filtering of images [26, 27], noise removal on coherent information weakly varying in space, signal amplification and for modulational instability [28,29].
where, without loss of generality, the lattice spacing h is taken equal to 1 so that the space variable x is given in units of cells, which is a more convenient unit for the NLTL.
Similar results have also been obtained by Comte and Marquie  in the reaction-diffusion equation modeling the propagation of fluxons (kink with compact support) in a NLTL where the compactification of kinks originates from the nonlinear diffusion process.
The paper is organized as follows: In Section 2, we write down the circuit equations governing smallamplitude pulses on the lossy NLTL shown in Fig.
7), we obtain that voltages of the adjacent nodes on this lossy NLTL are related via partial differential equation as follows
In this paper, the improved tanh method (ITM) is applied in order to find the analytical solution of the lossy NLTL .