Approximate symmetries of the Harry Dym equation
Mathematical Physics
2014-08-01 v1 math.MP
Abstract
In this paper, we derive the first order approximate symmetries for the Harry Dym equation by the method of approximate transformation groups proposed by Baikov, Gaszizov and Ibragimov. Moreover, we investigate the structure of the Lie algebra of symmetries of the perturbed Harry Dym equation. We compute the one-dimensional optimal system of subalgebras as well as point out some approximately differential invariants with respect to the generators of Lie algebra and optimal system.
Keywords
Cite
@article{arxiv.1405.3208,
title = {Approximate symmetries of the Harry Dym equation},
author = {Mehdi Nadjafikhah and Parastoo Kabi-Nejad},
journal= {arXiv preprint arXiv:1405.3208},
year = {2014}
}
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11 pages