161 citations · 469 across the 20 of their papers we have counts for
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Power-Logistic Shocks in a Lossy Nonlinear Transmission Line
Eugene Kogan
We consider a lossy transmission line with a nonlinear voltage--charge relation. In the framework of the inverse-design method, starting from a prescribed monotonic front profile,…
On the kinks in discrete systems
Eugene Kogan
We use perturbation theory to study kinks in nonlinear Klein--Gordon ( and sine-Gordon) chains and in a discrete series-connected Josephson transmission line. The expansion pa…
Shock waves in nonlinear transmission lines
Eugene Kogan
In the first half of the paper we consider interaction between the small amplitude travelling waves ("sound") and the shock waves in the transmission line containing both nonlinear…
Exact analytical solutions for the kinks, the solitons and the shocks in discrete nonlinear transmission line with nonlinear capacitance
Eugene Kogan
We studied discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors). The localised travelling waves in the lossless tra…
Josephson transmission line revisited
Eugene Kogan
We consider the series-connected Josephson transmission line (JTL), constructed from Josephson junctions, capacitors and (possibly) resistors. We calculate the velocity of shocks i…
Modulated harmonic wave in series connected discrete Josephson transmission line: the discrete calculus approach
Eugene Kogan
We consider the modulated harmonic wave in the discrete series connected Josephson transmission line (JTL). We formulate the approach to the modulation problems for discrete wave e…