标题： 海洋非线性内波的群分析。 II：对称性和旋转不变解 显示英文标题

标题： Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution

摘要： 74J30展示了在地球物理流体动力学中使用的非线性方程组的Lie点对称性的最大群。 该群的李代数是无限维的，并涉及三个时间的任意函数。 构造了在旋转和缩放下的不变解。 提供了不变解的定性分析，并给出了该解的能量。 显示英文摘要

摘要： 74J30The maximal group of Lie point symmetries of a system of nonlinear equations used in geophysical fluid dynamics is presented. The Lie algebra of this group is infinite-dimensional and involves three arbitrary functions of time. The invariant solution under the rotation and dilation is constructed. Qualitative analysis of the invariant solution is provided and the energy of this solution is presented.