This article is concerned with the incompressible, irrotational, infinite depth water wave equation in two space dimensions, either with gravity and without surface tension, or without gravity but with surface tension. For both of these problems we prove that there are no solitary waves.

中文翻译：

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二维重力中没有孤立波，深水中没有毛细波

本文关注的是二维空间中不可压缩、无旋、无限深的水波方程，有重力无表面张力，或无重力但有表面张力。对于这两个问题，我们证明不存在孤立波。