Soliton solutions to voltage analysis in nonlinear electrical transmission lines and electric signals in telegraph lines

Abstract

Soliton solutions of couple of nonlinear evolution equations (NLEEs) ascending for voltage analysis in nonlinear electric transmission lines and electric signals in telegraph lines have been investigated through the modified simple equation (MSE) method. We establish general closed form soliton solutions associated with transmission line parameters and integral constants, for definite values of which some of the existing solutions in the literature are rediscovered and some new solutions are originated. The 3D and contour plots of the obtained solutions are depicted to illustrate the voltage characteristics in the transmission line and in the optical fibers. The obtained solutions might play important role in science and engineering fields. It is noteworthy to observe that the MSE method is easy, compatible and powerful mathematical tool to extract soliton solutions.