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Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System

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  • Haifeng Wang
  • Yufeng Zhang

Abstract

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 - th Bäcklund transformation is also obtained.

Suggested Citation

  • Haifeng Wang & Yufeng Zhang, 2020. "Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-8, January.
    • Handle: RePEc:hin:jnlamp:6821690
    DOI: 10.1155/2020/6821690
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