[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 Training College, University of Bamenda, Bamenda, Cameroon.

The property of non-loss of energy by solitary wave during its propagation has enlightened us to find out in what measure one can propagate it in electrical lines. In this paper, we define analytically nonlinear properties that must obey the electrical line components so that their media accept to propagate solitary waves, then one applies Kirchhoff laws to the circuit of the coupled line to model new set of two nonlinear partial differential equations which govern the dynamics of a set of solitary waves. Furthermore, one constructs coupled solutions of solitary wave types of the said equations. The results obtained in this paper notably the analytical definitions which must undergo nonlinear charges of capacitors in the line, the set of nonlinear partial differential equations and their exact coupled soliton solutions will permit: The amelioration of the quality of signal susceptible of propagating in the line, to facilitate the choice of the type of the line relative to the choice of the type of signal to transmit, to economize by reducing amplification stations, to increase the mathematical knowledge and to enable the manufacturing of new nonlinear capacitors. The capacitive electrical line with crosslink capacitor that one is studying is advantageous for the fact that it permits simultaneously the propagation of a set of two solitary waves contrary to a non-coupled capacitive electrical line which only enables the propagation of one solitary wave when the signal considered is the voltage; the more one multiplies the crosslink in the line, the more one multiplies the simultaneous propagation of solitary wave in the line.

Capacitive Electrical Line, Coupled Solution, Propagation, Kink, Pulse

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