论文标题
线性整数差异方程的新复兴现象
New Revival Phenomena for Linear Integro-Differential Equations
论文作者
论文摘要
在水波理论中出现的三个非局部方程的具体情况下，我们介绍并分析了线性周期性进化方程的复兴现象的新颖表现，并由卷积内核定义。在这些情况下，复兴以在理性时期的分散量化解决方案的形式表现出来。我们对这种现象进行了分析描述，并提供了说明性的数值模拟。
We present and analyse a novel manifestation of the revival phenomenon for linear spatially periodic evolution equations, in the concrete case of three nonlocal equations that arise in water wave theory and are defined by convolution kernels. Revival in these cases is manifested in the form of dispersively quantised cusped solutions at rational times. We give an analytic description of this phenomenon, and present illustrative numerical simulations.
