Publication: Anomalies of ac solitary waves with internal modes: nonparametric resonances induced by parametric forces
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ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
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2001-10
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American Physical Society
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Abstract
We study the dynamics of kinks in the O4 model subjected to a parametric ac force, both with and without
damping, as a paradigm of solitary waves with internal modes. By using a collective coordinate approach, we
find that the parametric force has a nonparametric effect on the kink motion. Specifically, we find that the
internal mode leads to a resonance for frequencies of the parametric driving close to its own frequency, in
which case the energy of the system grows as well as the width of the kink. These predictions of the collective
coordinate theory are verified by numerical simulations of the full partial differential equation. We finally
compare this kind of resonance with that obtained for nonparametric ac forces and conclude that the effect of
ac drivings on solitary waves with internal modes is exactly the opposite of their character in the partial
differential equation.
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Physical Review E, vol 64, n. 4, oct. 2001. Pp. 1-7