New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Hon Wah TAM, Yufeng Zhang*, Xiangzhi Zhang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

11 Downloads (Pure)

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.

Original languageEnglish
Article number7639013
JournalAdvances in Mathematical Physics
Volume2016
DOIs
Publication statusPublished - 2016

Scopus Subject Areas

  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'New Applications of a Kind of Infinitesimal-Operator Lie Algebra'. Together they form a unique fingerprint.

Cite this