Conditional Lie-B(a)cklund Symmetry and New Variable Separation Solutions of the Third Ord

Conditional Lie-B(a)cklund Symmetry and New Variable Separation Solutions of the Third Order

KdV-Type Equations

Gai-Zhu Qu;Shun-Li Zhang;Hai-Xia Li;Gang-Wei Wang

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2018(070)010

【摘要】The functionally generalized variable separation solutions of a general KdV-type equations ut =uxxx + A(u,ux)uxx + B(u,ux) are investigated by developing the conditional Lie-B(a)cklund symmetry method.A complete classification of the considered equations,which admit multi-dimensional invariant subspaces governed by higher-order conditional Lie-B(a)cklund symmetries,is presented.As a result,several concrete examples are provided to construct functionally generalized variable separation solutions of some resulting equations. 【总页数】6页(399-404) 【关键词】

【作者】Gai-Zhu Qu;Shun-Li Zhang;Hai-Xia Li;Gang-Wei Wang

【作者单位】School of Mathematics and Physics, Weinan Normal University, Weinan 714000, China;Center for Nonlinear Studies, School of Mathematics, Northwest University, Xi'an 710069, China;Institute of Mathematics Science, Baoji University of Arts and Sciences, Baoji 721013, China;School of Mathematics and Statistics, Hebei University of