[01] Tiague Takongmo Guy, Departement of Physics, Faculty of Science, University of Yaoundé 1, Yaoundé Cameroon. [02] Jean Roger Bogning, Departement of Physics, Higher Teacher’s Training College, University of Bamenda, Bamenda Cameroon.

In the course of the last years, a soliton has been the must soliciting solitary wave for the propagation of energy or information through transmission media. This is due to its stable properties and it does not dissipate energy in the course of its propagation. Solitons are encountered in the analysis of water wave, plasmas, fiber optics, shock compression and nonlinear transmission line. The physical system that had been studied in this paper is a nonlinear inductive electrical line with crosslink capacitor reason being that it is cheapest, easy to manufacture and therefore more accessible than any other transmission lines. One apply Kirchhoff laws to the circuit of a nonlinear inductive electrical line with crosslink capacitor to model new set of two partial differential equations with higher-order of nonlinearity which govern the dynamics of the set of two solitary waves on the given line. Many authors look for numerical solutions of those nonlinear equations whereas exact analytical solutions lead best to the information of the electrical line. Therefore the construction of the coupled solitary wave solutions of these equations by the direct and effective Bogning-Djeumen Tchaho-Kofane method which is based on the identification of basic hyperbolic function coefficients has permitted one to realize that solitary wave of type (Kink; Kink) and type (Pulse; pulse) are easily propagated through the line when certain conditions we have presented are respected. The results obtained are supposed to permit the amelioration of signals that will propagate in those lines and the reduction of amplification station of those lines. The inductive electrical line with crosslink capacitor that we are studying is advantageous for the fact that it permits simultaneously the propagation of a set of two solitary waves contrary to a non-coupled inductive electrical line which only enables the propagation of one solitary wave when the signal considered is the current; the more we will multiply the crosslink in the line, the more we will multiply the simultaneous propagation of solitary wave in the line.

Inductive Electrical Line, Crosslink Capacitor, Modeling, Construction, Soliton Solution, Coupled Solution, Coupled Solitary Wave, Solitary Wave, Nonlinear Partial Differential Equation, Kink, Pulse

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