Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution
Mathematical Physics
2011-08-10 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1108.1963,
title = {Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution},
author = {Nail H. Ibragimov and Ranis N. Ibragimov and Vladimir F. Kovalev},
journal= {arXiv preprint arXiv:1108.1963},
year = {2011}
}