In this paper, we study steady two-dimensional periodic equatorial water waves of small amplitude which propagate over a flat bed and with a specified fixed mean-depth. In particular, we focus on irrotational flows and develop an equivalent formulation using flow force functions. The analysis is based on the local bifurcation theory due to Crandall-Rabinowitz.

中文翻译：

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稳态周期性固定深度非旋流赤道流的水力重构

在本文中，我们研究了小振幅的稳定二维周期性赤道水波，它们在平坦的床上传播并具有指定的固定平均深度。特别是，我们专注于非旋流，并使用流力函数开发等效公式。该分析基于Crandall-Rabinowitz的局部分歧理论。