We provide an in-depth exploration of the mass-transport properties of Pollard's exact solution for a zonally propagating surface water-wave in infinite depth. Without resorting to approximations we discuss the Eulerian mass transport of this fully nonlinear, Lagrangian solution. We show that it has many commonalities with the linear, Eulerian wave-theory, and also find Pollard-like solutions in the first and second order Lagrangian theory.

中文翻译：

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波拉德波的质量传输

我们对无限深度的纬向传播地表水波的波拉德精确解的质量传输特性进行了深入探索。在不求助于近似的情况下，我们讨论了这种完全非线性的拉格朗日解的欧拉质量传递。我们证明它与线性欧拉波理论有许多共性，并且在一阶和二阶拉格朗日理论中也找到了类波拉德的解。