3 papers
nlin.PS2026
Hyperbolic-Tangent Shocks in a Lossy Nonlinear Transmission Line
Eugene Kogan
We solve exactly the inverse problem for traveling fronts in a lossy nonlinear transmission line. Starting from a prescribed hyperbolic-tangent profile, we determine the voltage--c…
nlin.PS2026
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 p…
physics.class-ph2025
Nonlinear transmission line: shock waves and the simple wave approximation
Eugene Kogan
The transmission lines we consider are constructed from the nonlinear inductors and the nonlinear capacitors. In the first part of the paper we additionally include linear ohmic re…