Harry Dym方程的近似对称性
Approximate symmetries of the Harry Dym equation
摘要：
本文利用Baikov，Gaszizov和Algimov提出的近似变换群方法，得到了Harry Dym方程的一阶近似对称性.此外，我们还研究了扰动Harry Dym方程对称的李代数的结构。计算了一维子代数的最优系统，指出了关于李代数和最优系统的生成元的近似微分不变量。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
