Europhys. Lett.
Volume 66, Number 2, April 2004
Page(s) 192 - 197
Section General
Published online 01 April 2004
Europhys. Lett., 66 (2) , pp. 192-197 (2004)
DOI: 10.1209/epl/i2003-10203-3

Nonlinear waves propagating in the electrical transmission line

W.-S. Duan

Department of Physics, Northwest Normal University - Lanzhou, 730070, PRC

(Received 23 October 2003; accepted in final form 12 February 2004)

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.

05.45.Yv - Solitons.
52.35.Sb - Solitons; BGK modes.
47.35.+i - Hydrodynamic waves.

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