New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Honwah Tam, Yufeng Zhang and Xiangzhi Zhang

Advances in Mathematical Physics, 2016, vol. 2016, 1-12

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 ( ) and ( ) dimensions.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7639013

DOI: 10.1155/2016/7639013

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