Transformation of a linear wave by a local nonlinear element

Boris A. Malomed*, Michael S. Pomerants

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)251-254
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3
StatePublished - 10 Jan 1994


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