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arXiv · 1303.4425

Radial sine-Gordon kinks as sources of fast breathers

J. -G. Caputo·M. P. Soerensen
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Abstract

We consider radial sine-Gordon kinks in two, three and higher dimensions. A full two dimensional simulation showing that azimuthal perturbations remain small allows to reduce the problem to the one dimensional radial sine-Gordon equation. We solve this equation on an interval $[r_0,r_1]$ and absorb all outgoing radiation. Before collision the kink is well described by a simple law derived from the conservation of energy. In two dimensions for $r_0 \le 2$, the collision disintegrates the kink into a fast breather while for $r_0 \ge 4$ we obtain a kink-breather meta-stable state where breathers are shed at each kink "return". In three and higher dimensions $d$ a kink-pulson state appears for small $r_0$. The three states then exist as shown by a study of the $(d,r_0)$ parameter space. On the application side, the kink disintegration opens the way for new types of terahertz microwave generators.

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J. -G. Caputo, M. P. Soerensen. 2013-03-18. Radial sine-Gordon kinks as sources of fast breathers. https://doi.org/10.1103/physreve.88.022915

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