Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System
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 stro...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/6821690 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306044098936832 |
|---|---|
| author | Haifeng Wang Yufeng Zhang |
| author_facet | Haifeng Wang Yufeng Zhang |
| author_sort | Haifeng Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-33afd155a5d747a1bb244f3b8fca3374 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-33afd155a5d747a1bb244f3b8fca33742025-08-20T03:55:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/68216906821690Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers SystemHaifeng Wang0Yufeng Zhang1School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, ChinaSchool of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, ChinaIn 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.http://dx.doi.org/10.1155/2020/6821690 |
| spellingShingle | Haifeng Wang Yufeng Zhang Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System Advances in Mathematical Physics |
| title | Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System |
| title_full | Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System |
| title_fullStr | Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System |
| title_full_unstemmed | Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System |
| title_short | Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System |
| title_sort | residual symmetries and backlund transformations of 2 1 dimensional strongly coupled burgers system |
| url | http://dx.doi.org/10.1155/2020/6821690 |
| work_keys_str_mv | AT haifengwang residualsymmetriesandbacklundtransformationsof21dimensionalstronglycoupledburgerssystem AT yufengzhang residualsymmetriesandbacklundtransformationsof21dimensionalstronglycoupledburgerssystem |