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New Applications of a Kind of Infinitesimal-Operator Lie Algebra

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Listed:
  • Honwah Tam
  • Yufeng Zhang
  • Xiangzhi Zhang

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.

Suggested Citation

  • Honwah Tam & Yufeng Zhang & Xiangzhi Zhang, 2016. "New Applications of a Kind of Infinitesimal-Operator Lie Algebra," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-12, July.
    • Handle: RePEc:hin:jnlamp:7639013
    DOI: 10.1155/2016/7639013
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