Conditional Lie-Bcklund Symmetry and New Variable Separation Solutions of the Third Order KdV-Type Equations  

作　　者：Gai-Zhu Qu Shun-Li Zhang Hai-Xia Li Gang-Wei Wang 屈改珠;张顺利;李海侠;王岗伟(School of Mathematics and Physics, Weinan Normal University;Center for Nonlinear Studies, School of Mathematics, Northwest University;Institute of Mathematics Science, Baoji University of Arts and Sciences;School of Mathematics and Statistics, Hebei University of Economics and Business)

机构地区：[1]School of Mathematics and Physics,Weinan Normal University,Weinan 714000,China [2]Center for Nonlinear Studies,School of Mathematics,Northwest University,Xi＇an 710069,China [3]Institute of Mathematics Science,Ba~ji University of Arts and Sciences,Baoji 721013,China [4]School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China

出　　处：《Communications in Theoretical Physics》2018年第10期399-404,共6页理论物理通讯（英文版）

基　　金：Supported by the National Science Foundation of China under Grant Nos.11371293,11501419;the Mathematical Discipline Foundation of Shaanxi Province of China under Grant No.14TSXK02;the Natural Science Foundation of Weinan Normal University under Grant No.16ZRRC05 and 15YKS005;Natural Science Foundation of Hebei Province of China under Grant No.A2018207030

摘　　要：The functionally generalized variable separation solutions of a general KdV-type equations u_t=u_(xxx) +A(u, u_x)u_(xx) + B(u, u_x) are investigated by developing the conditional Lie-Backlund symmetry method. A complete classification of the considered equations, which admit multi-dimensional invariant subspaces governed by higher-order conditional Lie-B¨acklund symmetries, is presented. As a result, several concrete examples are provided to construct functionally generalized variable separation solutions of some resulting equations.

关 键 词：KdV-type equation conditional Lie-Backlund symmetry invariant subspace functionally gener-alized separation solutions dynamical system 

分 类 号：O175[理学—数学]