Abstract
Infinitely many generalized symmetries of a coupled (2 + 1)-dimensional Burgers system are obtained by means of the formal series symmetry approach. It is found that the generalized symmetries constitute a closed infinite-dimensional Lie algebra. Three interesting special cases are presented, including a closed infinite-dimensional Lie algebra and a Kac-Moody-Virasoro- type Lie symmetry algebra. From the first one of the positive flow, a new integrable coupled system of the modified Korteweg-de Vries equation and the potential Boiti-Leon-Manna-Pempinelli equation is constructed. In addition, it is demonstrated that the coupled Burgers system can pass the Painlevé test.
| Original language | English |
|---|---|
| Article number | 025201 |
| Journal | Physica Scripta |
| Volume | 89 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2014 |
| Externally published | Yes |
Keywords
- Painlevé test
- coupled Burgers system
- formal series symmetry approach
- generalized symmetry