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.
Source Publication Title
Advances in Mathematical Physics
Hindawi Publishing Corporation
Creative Commons Attribution License
Link to Publisher's Edition
Tam, H., Zhang, Y., & Zhang, X. (2016). New applications of a kind of infinitesimal-operator Lie algebra. Advances in Mathematical Physics, 2016 (). https://doi.org/10.1155/2016/7639013