$π$-kinks in strongly ac driven sine-Gordon systems

Details $π$-kinks in strongly ac driven sine-Gordon systems $π$-kinks in strongly ac driven sine-Gordon systems

1998-09-20

arxiv.org/abs/patt-sol/9809011v1

Physical Review E, V. 58, No. 1, R52-R55, Rapid Communications (1998)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevE.58.R52

We demonstrate that $\pi$-kinks exist in non-parametrically 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 $\pi$-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.

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