Painlevé property, symmetries and symmetry reductions of the coupled Burgers system

Painlevé property, symmetries and symmetry reductions of the coupled Burgers system

Lian Zeng-Ju;Chen Li-Li;Lou Sen-Yue

【期刊名称】《中国物理：英文版》 【年(卷),期】2005(014)008

【摘要】The Painlevé property, inverse recursion operator, infinite number of symmetries and Lie symmetry reductions of the coupled Burgers equation are given explicitly. Three sets of infinitely many symmetries of the considered model are obtained by acting the recursion operator and the inverse recursion operator on the trivial symmetries such as the identity transformation, the space translation and the scaling transformation respectively. These symmetries constitute an infinite dimensional Lie algebra while its finite dimensional Lie point symmetry subalgebra is used to find possible symmetry reductions and then the group invariant solutions. 【总页数】9页(1486-1494)

【关键词】symmetry;recursion operator;symmetry reduction;Painlevé 【作者】Lian Zeng-Ju;Chen Li-Li;Lou Sen-Yue

【作者单位】Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China;Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China;State Key Laboratory of Modern Acoustics, Nanjing University,