Painlevéanalysis,infinite dimensional symmetry group and symmetry reductions for the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation  

作　　者：Bo Ren Ji Lin Wan-Li Wang 

机构地区：[1]Department of Mathematics,Zhejiang University of Technology,Hangzhou 310014,China [2]Department of Physics,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Communications in Theoretical Physics》2023年第8期63-68,共6页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China Grant Nos.11775146,11835011 and 12105243.

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 Painlevéproperty.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 finite-dimensional subalgebra of physical transformations is studied.The commutation relations of the subalgebra,which have been established by selecting the Laurent polynomials in t,are calculated.This symmetry constitutes a centerless Virasoro algebra which has been widely used in the field of physics.Meanwhile,the similarity reduction solutions of the model are studied by means of the Lie point symmetry theory.

关 键 词：KdVSKR equation Painleve analysis Lie point symmetry Kac-Moody-Virasoro algebra 

分 类 号：O411.1[理学—理论物理]