Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions
Mathematical Physics
2021-04-21 v1 Analysis of PDEs
math.MP
Fluid Dynamics
Abstract
The group properties of the shallow-water equations with the complete Coriolis force is the subject of this study. In particular we apply the Lie theory to classify the system of three nonlinear partial differential equations according to the admitted Lie point symmetries. For each case of the classification problem the one-dimensional optimal system is determined. The results are applied for the derivation of new similarity solutions.
Keywords
Cite
@article{arxiv.2012.10634,
title = {Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:2012.10634},
year = {2021}
}
Comments
14 pages, 2 figures, to appear in Math. Meth. Appl. Sci