Group Analysis of Nonlinear Internal Waves in Oceans. I: Self-adjointness, conservation laws, invariant solutions
Mathematical Physics
2011-08-10 v1 math.MP
Abstract
The paper is devoted to the group analysis of equations of motion of two-dimensional uniformly stratified rotating fluids used as a basic model in geophysical fluid dynamics. It is shown that the nonlinear equations in question have a remarkable property to be self-adjoint. This property is crucial for constructing conservation laws provided in the present paper. Invariant solutions are constructed using certain symmetries. The invariant solutions are used for defining internal wave beams.
Keywords
Cite
@article{arxiv.1108.1877,
title = {Group Analysis of Nonlinear Internal Waves in Oceans. I: Self-adjointness, conservation laws, invariant solutions},
author = {Nail H. Ibragimov and Ranis N. Ibragimov},
journal= {arXiv preprint arXiv:1108.1877},
year = {2011}
}