线性积分微分方程的新复活现象
New Revival Phenomena for Linear Integro-Differential Equations
摘要：
我们提出并分析了一种新的表现形式的线性空间周期性发展方程的复苏现象，在具体的情况下，三个非局部方程，出现在水波理论和卷积核定义。在这些情况下，复兴表现在形式的离散量化尖解在理性的时间。我们给出了这种现象的分析描述，并提出说明性的数值模拟。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
