Oceans crossing the Solar System attract people’s attention: the Earth, Enceladus, and Titan. On a variable-coefficient nonlinear dispersive-wave system for the shallow oceanic environment, our symbolic computation yields two non-auto-Backlund transformations and auto-Backlund transformations with some solitons, with regard to the wave elevation and surface velocity of the water wave, which depend on the variable coefficients. This paper could be of some use for the future oceanic studies in the Solar System.

中文翻译：

---

通过可变系数非线性色散波系统观察太阳系

穿过太阳系的海洋吸引了人们的注意力：地球、土卫二和泰坦。在浅海环境的可变系数非线性色散波系统上，我们的符号计算产生了两个非自动 Backlund 变换和一些孤子的自动 Backlund 变换，关于水波的波高和表面速度，这取决于可变系数。这篇论文可能对太阳系未来的海洋研究有一定的帮助。