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

• 来源期刊: 中国物理（英文版）
• 关键词: symmetry recursion operator symmetry reduction Painlevé
• 年，卷（期）: 2005,（8）
• 页码范围: 1486-1494
• 页数: 9页
• 语种: 英文

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.