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Symmetry study of the coupled Burgers system

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  • Lian, Zeng-ju
  • Lou, S.Y.

Abstract

The inverse of the recursion operator of a coupled Burgers equation is given explicitly. Three sets of infinitely many symmetries of the considered model are obtained by acting the recursion operator and it’s inverse on the trivial symmetries, space translation, identity transformation and the scaling transformation respectively. These symmetries constitute an infinite dimensional Lie algebra.

Suggested Citation

  • Lian, Zeng-ju & Lou, S.Y., 2006. "Symmetry study of the coupled Burgers system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 51-55.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:1:p:51-55
    DOI: 10.1016/j.chaos.2004.11.022
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    Cited by:

    1. Ye, Wang-Chuan & Li, Biao, 2009. "Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2623-2628.

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