Department of Computer Science
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.
Advances in Mathematical Physics
Hindawi Publishing Corporation
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Tam, Hon Wah, Yufeng Zhang, and Xiangzhi Zhang. "New applications of a kind of infinitesimal-operator Lie algebra." Advances in Mathematical Physics 2016 (2016): 1-12.