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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 N‐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, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6821690
    DOI: 10.1155/2020/6821690
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    References listed on IDEAS

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    1. Quanyong Zhu & Quanxiang Wang & Ju Fu & Zhiyue Zhang, 2012. "New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, September.
    2. Quanyong Zhu & Quanxiang Wang & Ju Fu & Zhiyue Zhang, 2012. "New Second‐Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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