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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Bibliographic Details
Published inEurophysics letters Vol. 66; no. 2; pp. 192 - 197
Main Author Duan, W.-S
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2004
EDP Sciences
Subjects
05.45.Yv
47.35.+i
52.35.Sb
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Summary: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.
Bibliography:ark:/67375/80W-P2NQ68RL-2
publisher-ID:epl8115
istex:5E3609E8FCC4161B0D9B545B87F223BF73FACBAC
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2003-10203-3