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On the existence of internal modes of sine-Gordon kinks

Niurka R. Quintero·Angel Sanchez·Franz G. Mertens
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Abstract

We study whether or not sine-Gordon kinks exhibit internal modes or ``quasimodes.'' By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor ``quasimodes'' exist in contrast to previous reports. However, we do identify a different kind of internal mode bifurcating from the bottom edge of the phonon band which arises from the discretization of the system in the numerical simulations, thus confirming recent predictions.

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Niurka R. Quintero, Angel Sanchez, Franz G. Mertens. 2000-06-21. On the existence of internal modes of sine-Gordon kinks. https://doi.org/10.1103/physreve.62.r60

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