Nonlinear waves propagating in the electrical transmission line

• Published in: Europhysics letters Vol. 66; no. 2; pp. 192 - 197
• Main Author: Duan, W.-S
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.04.2004; EDP Sciences
• Subjects: 05.45.Yv; 47.35.+i; 52.35.Sb

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...