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- W2095582034 abstract "The conditions for the propagation of modulated waves on a system of two coupled discrete nonlinear LC transmission lines with negative nonlinear resistance are examined, each line of the network containing a finite number of cells. Our theoretical analysis shows that the telegrapher equations of the electrical transmission line can be reduced to a set of two coupled discrete complex Ginzburg-Landau equations. Using the standard linear stability analysis, we derive the expression for the growth rate of instability as a function of the wave numbers and system parameters, then obtain regions of modulational instability. Using numerical simulations, we examine the long-time dynamics of modulated waves in the line. This leads to the generation of nonlinear modulated waves which have the shape of a soliton for the fast and low modes. The effects of dissipative elements on the propagation are also shown. The analytical results are corroborated by numerical simulations." @default.
- W2095582034 created "2016-06-24" @default.
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- W2095582034 date "2008-07-29" @default.
- W2095582034 modified "2023-10-18" @default.
- W2095582034 title "Modulated waves and pattern formation in coupled discrete nonlinear<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>L</mml:mi><mml:mi>C</mml:mi></mml:mrow></mml:math>transmission lines" @default.
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- W2095582034 doi "https://doi.org/10.1103/physreve.78.016606" @default.
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