Nonlinear supratransmission in a discrete nonlinear electrical transmission line: Modulated gap peak solitons |
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| Institution: | 1. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;2. Department of Mechanical Engineering, Higher Technical Teacher''s Training College (ENSET) Ebolowa, University of Ebolowa, P.O. Box 886, Ebolowa, Cameroon;1. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;2. Centre d’Excellence Africain en Technologies de l’Information et de la Communication (CETIC), Yaoundé, Cameroon |
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| Abstract: | We examine the propagation conditions of modulated gap signal voltage in a one-dimensional nonlinear discrete electrical transmission line where nonlinear capacitors are introduced both in their series and shunt branches. Especially, we consider that the propagating signal voltage frequency belong to the forbidden band zones. Using the exact discrete equations of the network and the extended nonlinear Schrödinger equation, the threshold value of the signal amplitude over which pulse soliton is emitted in the network is found. We show that when the signal amplitude exceeds a particular value, the critical value, peaked soliton can be emitted by the network due to the nonlinear dispersive elements of the series branches. Numerical simulations, confirming the exactness of the analytical analysis are performed on the exact equations of the network. |
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