[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.

Solitary wave is the most used signal for the transmission of information in the different transmission media for the fact that it is robust, localized, and stable. It is particularly that property of non-loss of energy by solitary wave during its movement that has motivated us to find out in which measure one can propagate it in transmission media like electrical line. The choice of electrical line for our study is due to the fact that they are low cost transmission supports and very easy to manufacture. In this article, we define analytically nonlinear properties that must obey the electrical line components so that their media accept to propagate solitary waves. We use the analytical definition of nonlinear charge of capacitors and we apply Kirchhoff laws to the circuit of nonlinear capacitive electrical line to model new higher-order nonlinear partial differential equations which govern the dynamics of solitary waves in the line. The application of Bogning-Djeumen Tchaho-Kofane method that facilitate the construction of solitary wave solutions of nonlinear partial differential equations by the identification of basic hyperbolic function coefficients in a direct and effective manner has permitted to obtain exact solutions of the modeled nonlinear equations. These solution are solitary waves of type Kink and type Pulse that are susceptible to propagate in the line when some conditions we have established are respected. The results obtained in this paper notably the analytical definitions that must undergo nonlinear charges of capacitors in the line, the nonlinear partial differential equations and their exact 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, to enable the manufacturing of new nonlinear capacitors.

Capacitive Electrical Line, Construction, Model, Soliton Solution, Solitary Wave, Nonlinear Partial Differential Equation, Kink, Pulse

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