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Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
R Alvarez-Nodarse1, N R Quintero2, F G Mertens3
1Instituto 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.
Abstract:
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.
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