Solitary signals in electrical nonlinear transmission line

Abstract

We investigate the propagation of solitary signal in nonlinear electrical transmission line. Starting from the modified complex Ginzburg-Landau equation and the theory of elliptic ordinary differential equations, we derive a number of solitonlike solutions of the modified complex Ginzburg-Landau equation and study the linear stability of these solutions. The higher order soliton solution is constructed using the Hirota method which is found to be very simple when compared with the Painlev́ method. © 2007 American Institute of Physics.