TY - JOUR

T1 - Transformation of a linear wave by a local nonlinear element

AU - Malomed, Boris A.

AU - Pomerants, Michael S.

PY - 1994/1/10

Y1 - 1994/1/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=43949155162&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)90384-0

DO - 10.1016/0375-9601(94)90384-0

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AN - SCOPUS:43949155162

SN - 0375-9601

VL - 184

SP - 251

EP - 254

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -