Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction

G. Costabile; R. D. Parmentier; B. Savo; D. W. McLaughlin; A. C. Scott

doi:10.1063/1.90113

Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction

G. Costabile, R. D. Parmentier, B. Savo, D. W. McLaughlin, A. C. Scott

Research output: Contribution to journal › Article › peer-review

Abstract

Readily evaluated exact solutions of the sine-Gordon equation are presented for nonlinear standing-wave oscillations on a fixed length of a lossless Josephson transmission line with open-circuit boundary conditions at the ends. Three distinct species of standing waves are described: (i) plasma oscillation, (ii) breather oscillation, and (iii) fluxon oscillation. Fluxon oscillations can absorb power from an external source of bias current; for this case the volt-ampere characteristics relating bias current to average junction have been computed.

Original language	English (US)
Pages (from-to)	587-589
Number of pages	3
Journal	Applied Physics Letters
Volume	32
Issue number	9
DOIs	https://doi.org/10.1063/1.90113
State	Published - 1978

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1063/1.90113

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abstract = "Readily evaluated exact solutions of the sine-Gordon equation are presented for nonlinear standing-wave oscillations on a fixed length of a lossless Josephson transmission line with open-circuit boundary conditions at the ends. Three distinct species of standing waves are described: (i) plasma oscillation, (ii) breather oscillation, and (iii) fluxon oscillation. Fluxon oscillations can absorb power from an external source of bias current; for this case the volt-ampere characteristics relating bias current to average junction have been computed.",

author = "G. Costabile and Parmentier, {R. D.} and B. Savo and McLaughlin, {D. W.} and Scott, {A. C.}",

year = "1978",

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journal = "Applied Physics Letters",

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AU - Costabile, G.

AU - Parmentier, R. D.

AU - Savo, B.

AU - McLaughlin, D. W.

AU - Scott, A. C.

PY - 1978

Y1 - 1978

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AB - Readily evaluated exact solutions of the sine-Gordon equation are presented for nonlinear standing-wave oscillations on a fixed length of a lossless Josephson transmission line with open-circuit boundary conditions at the ends. Three distinct species of standing waves are described: (i) plasma oscillation, (ii) breather oscillation, and (iii) fluxon oscillation. Fluxon oscillations can absorb power from an external source of bias current; for this case the volt-ampere characteristics relating bias current to average junction have been computed.

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Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction

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