论文标题
两个Nekrasov的整体方程的故事
A tale of two Nekrasov's integral equations
论文作者
论文摘要
就在100年前，Nekrasov发表了广泛引用的论文\ cite {n1}，其中他得出了两个积分方程中的第一个，描述了在自由表面上的稳定周期性波。我们研究了Nekrasov如何到达这些方程式以及他调查其解决方案的方法。在这方面，简短地概述了尼克拉索夫在1917年之后的生活，尤其是他如何成为斯大林恐怖的受害者。调查了有关Nekrasov方程和相关主题的进一步结果。
Just 100 years ago, Nekrasov published the widely cited paper \cite{N1}, in which he derived the first of his two integral equations describing steady periodic waves on the free surface of water. We examine how Nekrasov arrived at these equations and his approach to investigating their solutions. In this connection, Nekrasov's life after 1917 is briefly outlined, in particular, how he became a victim of Stalin's terror. Further results concerning Nekrasov's equations and related topicz are surveyed.
