Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line

In this paper, we study some soliton solutions for a nonlinear Telegraph equation (NLTE), also known as the damped wave equation studied in electrical transmission line. We analyze one soliton transformation, two soliton interaction, three soliton interaction and N-soliton interactions for NLTE with the help of Hirota bilinear method (HBM). To enhance the quality of information carriers in fibers, we can place two solitons close to one another in a single channel of an optical fiber and also suppress their mutual interaction. We also obtain Jacobi elliptic solutions (JES) and other solitary wave solutions which degenerate to kink, bell type, rational and dark solitons for NLTE with the aid of extended trial function scheme (ETFS).