Symmetries, conservation laws, and generalized travelling waves for a forced Ostrovsky equation
Mathematical Physics
2022-02-22 v2 math.MP
Abstract
Ostrovsky's equation with time- and space- dependent forcing is studied. This equation is model for long waves in a rotating fluid with a non-constant depth (topography). A classification of Lie point symmetries and low-order conservation laws is presented. Generalized travelling wave solutions are obtained through symmetry reduction. These solutions exhibit a wave profile that is stationary in a moving reference frame whose speed can be constant, accelerating, or decelerating.
Keywords
Cite
@article{arxiv.2105.06415,
title = {Symmetries, conservation laws, and generalized travelling waves for a forced Ostrovsky equation},
author = {Stephen C. Anco and Maria Gandarias},
journal= {arXiv preprint arXiv:2105.06415},
year = {2022}
}
Comments
12 pages; typos corrected. Published version