Conservation Law Classification and Integrability of Generalized Nonlinear Second-Order Equation  

作　　者：刘汉泽 李继彬 刘磊 

机构地区：[1]Department of Mathematics,Binzhou University [2]Center for Nonlinear Science Studies,Kunming University of Science and Technology [3]Department of Mathematics,Zhejiang Normal University [4]The Center for Economic Research,Shandong University

出　　处：《Communications in Theoretical Physics》2011年第12期987-991,共5页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.11171041 and 10971018;the Natural Science Foundation of Shandong Province under Grant No.ZR2010AM029;the Promotive Research Fund for Young and Middle-Aged Scientists of Shandong Province under Grant No.BS2010SF001; the Doctoral Foundation of Binzhou University under Grant No.2009Y01

摘　　要：This paper is concerned with the generalized nonlinear second-order equation.By the direct construction method,all of the first-order multipliers of the equation are obtained,and the corresponding complete conservation laws(CLs) of such equations are provided.Furthermore,the integrability of the equation is considered in terms of the conservation laws.In addition,the relationship of multipliers and symmetries of the equations is investigated.

关 键 词：conservation law MULTIPLIER symmetry INTEGRABILITY direct construction method Klein-Gordonwave equation 

分 类 号：O175[理学—数学]