Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models.
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach leads to the study of a double sine-Gordon equation with an effective potential and an effective additive force. Direct numerical simulations show how the appearance of two connected π kinks and of an individual π kink can be controlled via the frequency. An anomalous negative mobility phenomenon is also predicted by theory and confirmed by simulations of the original equation.
Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Universidad de Sevilla, 41012 Sevilla, Spain and Departamento de Análisis Matemático, Universidad de Sevilla, apdo. 1160, E-41080, Sevilla, Spain.
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Alvarez-Nodarse
Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Universidad de Sevilla, 41012 Sevilla, Spain and Departamento de Física Aplicada I, E.P.S., Universidad de Sevilla, Virgen de África 7, 41011, Sevilla, Spain.
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Quintero
Physikalisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany.
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Mertens