@article{c3f57422515a4dea9751d53fc283eaa7,
title = "New Applications of a Kind of Infinitesimal-Operator Lie Algebra",
abstract = "Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1 + 1) and (2 + 1) dimensions.",
author = "Honwah Tam and Yufeng Zhang and Xiangzhi Zhang",
note = "This work was supported by the National Natural Science Foundation of China (Grant no. 11371361), the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology (2014) and the Fundamental Research Funds for the Central Universities (2013XK03), the Natural Science Foundation of Shandong Province (Grant no.ZR2013AL016), Hong Kong Research Grant Council (Grant no. HKBU202512), and Key Discipline Construction by China University of Mining and Technology (Grant no. XZD201602). ",
year = "2016",
month = jul,
day = "25",
doi = "10.1155/2016/7639013",
language = "English",
volume = "2016",
journal = "Advances in Mathematical Physics",
issn = "1687-9120",
publisher = "John Wiley \& Sons Ltd",
}