Abstract
We consider the scattering problem for the D'Alembert equation with a local nonlinear sine term, which is a simplest model of a dispersionless transmission line with an inserted Josephson junction. The incident wave is taken in the purely ac form. We demonstrate that, when its amplitude exceeds a certain threshold that depends upon the value of a coefficient in front of the nonlinear term, the transmitted and reflected waves contain both ac and dc components, the latter meaning a nonzero mean value of the time derivative.
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