Nonlinear waves propagating in the electrical transmission line

A coupled Zakharov-Kuznetsov (ZK) equation is derived for a nonlinear transmission line in which the nonlinear capacitance C is of a general form $C=C_0(1+k_1V+k_2V^2+\cdots)$. For a solitary-wave solution of the ZK equation, there is an instability region which is given numerically in this paper. I...

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Veröffentlicht in:Europhysics letters 2004-04, Vol.66 (2), p.192-197
1. Verfasser: Duan, W.-S
Format: Artikel
Sprache:eng
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Zusammenfassung:A coupled Zakharov-Kuznetsov (ZK) equation is derived for a nonlinear transmission line in which the nonlinear capacitance C is of a general form $C=C_0(1+k_1V+k_2V^2+\cdots)$. For a solitary-wave solution of the ZK equation, there is an instability region which is given numerically in this paper. It is in agreement with the analytical results for special cases.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2003-10203-3