Nonlinear waves propagating in the electrical transmission lineW.-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 . 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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