New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Honwah Tam; Yufeng Zhang; Xiangzhi Zhang

doi:10.1155/2016/7639013

New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Honwah Tam
, Yufeng Zhang^*
, Xiangzhi Zhang

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

1 Citation (Scopus)

47 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 language	English
Article number	7639013
Journal	Advances in Mathematical Physics
Volume	2016
DOIs	https://doi.org/10.1155/2016/7639013
Publication status	Published - 25 Jul 2016

Access to Document

10.1155/2016/7639013

Full TextFinal published version, 1.92 MB

Cite this

@article{c3f57422515a4dea9751d53fc283eaa7,

title = "New Applications of a Kind of Infinitesimal-Operator Lie Algebra",

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.",

author = "Honwah Tam and Yufeng Zhang and Xiangzhi Zhang",

note = "This work was supported by the National Natural Science Foundation of China (Grant no. 11371361), the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology (2014) and the Fundamental Research Funds for the Central Universities (2013XK03), the Natural Science Foundation of Shandong Province (Grant no.ZR2013AL016), Hong Kong Research Grant Council (Grant no. HKBU202512), and Key Discipline Construction by China University of Mining and Technology (Grant no. XZD201602). ",

year = "2016",

month = jul,

day = "25",

doi = "10.1155/2016/7639013",

language = "English",

volume = "2016",

journal = "Advances in Mathematical Physics",

issn = "1687-9120",

publisher = "John Wiley \& Sons Ltd",

}

TY - JOUR

T1 - New Applications of a Kind of Infinitesimal-Operator Lie Algebra

AU - Tam, Honwah

AU - Zhang, Yufeng

AU - Zhang, Xiangzhi

N1 - This work was supported by the National Natural Science Foundation of China (Grant no. 11371361), the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology (2014) and the Fundamental Research Funds for the Central Universities (2013XK03), the Natural Science Foundation of Shandong Province (Grant no.ZR2013AL016), Hong Kong Research Grant Council (Grant no. HKBU202512), and Key Discipline Construction by China University of Mining and Technology (Grant no. XZD201602).

PY - 2016/7/25

Y1 - 2016/7/25

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84982182442

U2 - 10.1155/2016/7639013

DO - 10.1155/2016/7639013

M3 - Journal article

AN - SCOPUS:84982182442

SN - 1687-9120

VL - 2016

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

M1 - 7639013

ER -

New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Abstract

Access to Document

Other files and links

Fingerprint

Cite this