Power-Logistic Fronts in a Lossy Nonlinear Transmission Line

The study uses an inverse-design method to find the exact voltage-charge relation and squared local sound speed for power-logistic fronts in a lossy nonlinear transmission line. It shows that these fronts are shocks, not kinks, and derives formulas using the lower incomplete beta function. The analysis confirms spectral stability by showing short-wavelength perturbations are damped.

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