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Physics Journal, Vol.4, No.3, Sep. 2018, Pub. Date: Oct. 9, 2018
Solitary Wave Solutions of Modified Telegraphist Equations Modeled in an Electrical Line
Pages: 29-36 Views: 298 Downloads: 184
[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.
In this paper, we are using an ordinary electrical line to find the modified Telegraphist equations in terms of current and voltage. Then, we define the nonlinear analytical shape that must respect the conductance per unit length so that the new obtained lines accept the propagation of solitary waves. From the analytical definition of the conductance of the modified Telegraphist equations, we obtain new nonlinear partial differential equations that govern the dynamics of solitary waves in the new lines. Having constructed the exact solitary wave solutions of the new higher-order nonlinear partial differential equations, we have confirmed that these lines accept the simultaneous propagation of a set of two signals which are current and voltage of type (Kink; Kink) or type (Pulse; Pulse). The obtained results have advantages generally in the domain of physics and particularly in the domain of engineering of telecommunication because the new lines obtained accept the propagation of solitary waves of type (Kink; Kink) or type (Pulse; Pulse) on longer distances maintaining their shape, their velocity, without loss of energy contrary to sinusoidal waves that we have obtained with non-modified Telegraphist equations whose amplitude decreases exponentially and loss a lot of energy.
Telegraphist Equations, Construction, Model, Soliton Solution, Solitary Wave, Nonlinear Partial Differential Equation, Kink, Pulse
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