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Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces

Opened Access Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces

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Autor: Quintero, Niurka R.
Sánchez Sánchez, Ángel
Mertens, Franz G.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2001
Publicado en: Physical Review E, 2001, 64(4), 046601: 1-7
Tipo de documento: Artículo
Resumen: We study the dynamics of kinks in the φ4 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.
Tamaño: 116.3Kb
Formato: PDF

URI: http://hdl.handle.net/11441/23733

DOI: 10.1103/PhysRevE.64.046601

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