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

Haifeng Wang and Yufeng Zhang

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

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.

Date: 2020
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https://doi.org/10.1155/2020/6821690

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6821690

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