[Formula Presented] kinks in strongly ac driven sine-Gordon systems

Vadim Zharnitsky, Igor Mitkov, Niels Grønbech-Jensen

Research output: Contribution to journalArticlepeer-review


We demonstrate that [Formula Presented] kinks exist in nonparametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amplitude, there are two stable and two unstable equilibria in the sine-Gordon phase. The pairwise symmetry of these equilibria implies the existence of a one-parameter family of [Formula Presented]-kink solutions in the reduced system. In the dissipative case of the ac driven sine-Gordon systems, corresponding to Josephson junctions, the velocity is selected by the balance between the perturbations. The results are derived from a perturbation analysis and verified by direct numerical simulations.

Original languageEnglish (US)
Pages (from-to)R52-R55
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number1
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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