| Painlevé analysis,infinite dimensional symmetry group and symmetry reductions for the(2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation |
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| 作者姓名： | Bo Ren Ji Lin Wan-Li Wang |
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| 作者单位： | 1. Department of Mathematics, Zhejiang University of Technology;2. Department of Physics, Zhejiang Normal University |
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| 基金项目： | supported by the National Natural Science Foundation of China Grant Nos. 11775146, 11835011 and 12105243; |
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| 摘 要： | The(2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani(KdVSKR) equation is studied by the singularity structure analysis. It is proven that it admits the Painlevé property. The Lie algebras which depend on three arbitrary functions of time t are obtained by the Lie point symmetry method. It is shown that the KdVSKR equation possesses an infinite-dimensional Kac–Moody–Virasoro symmetry algebra. By selecting first-order polynomials in t, a finitedimensional subalgebra of physical transformati...
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