Nonlinear supratransmission in a discrete nonlinear electrical transmission line: Modulated gap peak solitons

被引:32
作者
Kenmogne, Fabien [1 ]
Ndombou, Guy Bertrand [2 ]
Yemele, David [2 ]
Fomethe, Anaclet [2 ]
机构
[1] Univ Yaounde I, Fac Sci, Lab Modelling & Simulat Engn Biomimet & Prototype, Yaounde, Cameroon
[2] Univ Dschang, Fac Sci, Lab Mecan & Modelisat Syst Phys L2MSP, Dschang, Cameroon
关键词
Nonlinear equations - Electric lines;
D O I
10.1016/j.chaos.2015.02.026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 Schrodinger 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. Published by Elsevier Ltd.
引用
收藏
页码:263 / 271
页数:9
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