Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this article, we mainly apply the nonlocal residual symmetry analysis to a (2 + 1)-dimensional strongly coupled Burgers system, which is defined by us through taking values in a commutative subalgebra.
On the basis of the general theory of Painlevé analysis, we get a residual symmetry of the strongly coupled Burgers system.
Then, we introduce a suitable enlarged system to localize the nonlocal residual symmetry.
In addition, a Bäcklund transformation is derived by Lie’s first theorem.
Further, the linear superposition of the multiple residual symmetries is localized to a Lie point symmetry, and an N-th Bäcklund transformation is also obtained.
American Psychological Association (APA)
Wang, Haifeng& Zhang, Xiangzhi. 2020. Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127467
Modern Language Association (MLA)
Wang, Haifeng& Zhang, Xiangzhi. Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System. Advances in Mathematical Physics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1127467
American Medical Association (AMA)
Wang, Haifeng& Zhang, Xiangzhi. Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127467
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127467