Alvarez-Nodarse R, Quintero N R, Mertens F G
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.
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.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042916. doi: 10.1103/PhysRevE.90.042916. Epub 2014 Oct 20.
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.
一种平均方法被应用于研究在高频外部（非参数）和参数周期力驱动下的阻尼双正弦 - 戈登方程中扭结的动力学。这种理论方法导致了对具有有效势和有效附加力的双正弦 - 戈登方程的研究。直接数值模拟展示了如何通过频率来控制两个相连的π扭结和单个π扭结的出现。理论还预测了一种反常的负迁移率现象，并通过原始方程的模拟得到了证实。
