论文标题
正弦方程中的图书馆和旋转行驶波的局部结构
Localized structures on librational and rotational travelling waves in the sine-Gordon equation
论文作者
论文摘要
我们将精确的解决方案得出了精确的解决方案 - 戈登方程描述了图书馆和旋转行驶波的背景上的局部结构。在库波的情况下，精确的解决方案代表时空坐标（流氓波）中的局部尖峰，该峰值在周期性的背景代数迅速衰减。在旋转波的情况下，精确的解表示在周期性背景上传播的扭结，并沿横向向其传播的代数腐烂。这些解决方案在半古典限制中的磁通凝结动力学中的通用模式对通用模式进行了建模。不同的动力学与库波和旋转波的调节稳定性的不同结果有关。
We derive exact solutions to the sine--Gordon equation describing localized structures on the background of librational and rotational travelling waves. In the case of librational waves, the exact solution represents a localized spike in space-time coordinates (a rogue wave) which decays to the periodic background algebraically fast. In the case of rotational waves, the exact solution represents a kink propagating on the periodic background and decaying algebraically in the transverse direction to its propagation. These solutions model the universal patterns in the dynamics of fluxon condensates in the semi-classical limit. The different dynamics is related to different outcomes of modulational stability of the librational and rotational waves.
