文献类型：期刊文献

英文题名：FINITE SYMMETRY GROUP AND COHERENT SOLITON SOLUTIONS FOR THE BROER-KAUP-KUPERSHMIDT SYSTEM

作者：Yu, Jun[1];Hu, Hanwei[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2013

卷号：23

期号：9

外文期刊名：INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

收录：SCI-EXPANDED(收录号：WOS:000325770200013)、、EI(收录号：20134316886349)、Scopus(收录号：2-s2.0-84885817819)、WOS

基金：The work was supported by the National Natural Science Foundation of China (Grant No. 11275129). We would like to thank Prof. Senyue Lou for his helpful suggestions.

语种：英文

外文关键词：Broer-Kaup-Kupershmidt system; symmetry group; coherent soliton solution

外文摘要：A modified CK direct method is generalized to find finite symmetry groups of nonlinear mathematical physics systems. For the (2 + 1)-dimensional Broer-Kaup-Kupershmidt (BKK) system, both the Lie point symmetry and the non-Lie symmetry groups are obtained by this method. While using the traditional Lie approach, one can only find the Lie symmetry groups. Furthermore, abundant localized structures of the BKK equation are also obtained from the non-Lie symmetry group.