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 journalArticle

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 languageEnglish (US)
Pages (from-to)587-589
Number of pages3
JournalApplied Physics Letters
Volume32
Issue number9
DOIs
StatePublished - 1978

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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