文献类型：期刊文献

中文题名：Finite symmetry transformation group of the Konopelchenko Dubrovsky equation from its Lax pair

英文题名：Finite symmetry transformation group of the Konopelchenko-Dubrovsky equation from its Lax pair

作者：Hu Han-Wei[1,2];Yu Jun[1]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China

年份：2012

卷号：21

期号：2

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000300636700002)、CSTPCD、、EI(收录号：20120914810445)、Scopus(收录号：2-s2.0-84863129829)、CSCD2011_2012、WOS、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant No. 10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080455).

语种：英文

中文关键词：Lax对;方程;对称性;变换群;直接方法;代数结构;多孤子解;对称群

外文关键词：Lax pairs; symmetries; symmetry group; exact solution

中文摘要：Starting from a weak Lax pair,the general Lie point symmetry group of the Konopelchenko-Dubrovsky equation is obtained by using the general direct method.And the corresponding Lie algebra structure is proved to be a Kac-Moody-Virasoro type.Furthermore,a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.

外文摘要：Starting from a weak Lax pair, the general Lie point symmetry group of the Konopelchenko-Dubrovsky equation is obtained by using the general direct method. And the corresponding Lie algebra structure is proved to be a Kac-Moody-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.