Kac-Moody-Virasoro Symmetry Algebra of (2+1)-Dimensional Dispersive Long-Wave Equation with Arbitrary Order Invariant  

作　　者：张焕萍 李彪 陈勇 

机构地区：[1]Nonlinear Science Center,Ningbo University [2]MM Key Lab,Chinese Academy of Sciences [3]Institute of Theoretical Computing,East China Normal University

出　　处：《Communications in Theoretical Physics》2010年第3期450-454,共5页理论物理通讯（英文版）

基　　金：Supported by the Natural Science Foundation of China under Grant No. 10735030;Ningbo Natural Science Foundation under Grant No. 2008A610017;National Basic Research Program of China (973 Program 2007CB814800);Shanghai Leading Academic Discipline Project under Grant No. B412;Program for Changjiang Scholars and Innovative Research Team in University (IRT0734);K.C. Wong Magna Fund in Ningbo University

摘　　要：By Lie symmetry method, the Lie point symmetries and its Kac-Moody-Virasoro (KMV) symmetry algebra of (2+1)-dimensional dispersive long-wave equation (DLWE) are obtained, and the finite transformation of DLWE is given by symmetry group direct method, which can recover Lie point symmetries. Then KMV symmetry algebra of DLWE with arbitrary order invariant is also obtained. On basis of this algebra the group invariant solutions and similarity reductions are also derived.

关 键 词：Kac Moody Virasoro symmetry algebra dispersive long-wave equation symmetry reduction group invariant solutions 

分 类 号：O175[理学—数学]