Exact traveling discrete kink-soliton solutions for the discrete nonlinear electrical transmission lines

We investigate exact soliton solutions for the discrete nonlinear electrical transmission line by performing the simplest equation method from a trivial seed solution. Starting from the nonlinear propagation of signals in electrical transmission lines, we derive exact traveling kink and antikink solitary wave solutions. It is shown that under a safe range of parameter, the shape of kink soliton can be controlled well by adjusting the parameter of the line. The analytical solutions for the kink and antikink solitary waves are tested in direct simulations.

Research highlights
► The NLTL provide a useful way to check how the nonlinear excitations behave inside the medium.
► Researchers in physics and engineering have understood that stable localized solitary waves have many important applications.
► The systems in which the solitary waves interact elastically, the true soliton systems, are important.
► There is an intrinsic richness in the mathematical theory of soliton systems.