Finite symmetry transformation group of the Konopelchenko-Dubrovsky equation from its Lax pair

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-Mood-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelc...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 2; pp. 46 - 50
Main Author 胡瀚玮 俞军
Format Journal Article
LanguageEnglish
Published 01.02.2012
Subjects
Group theory
Lax对
Lie groups
Mathematical analysis
Symmetry
Transformations (mathematics)
代数结构
变换群
多孤子解
对称性
对称群
方程
直接方法
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/2/020202

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Summary: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-Mood-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.
Bibliography:Hu Han-Wei Yu Jun a） Department of Physics, Shaoxing University, Shaoxing 312000, China b） Department of Physics, Ningbo University, Ningbo 315211, China
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-Mood-Virasoro type. Furthermore, a new multi-soliton solution for the Konopelchenko-Dubrovsky equation is also given from this symmetry group and a known solution.
11-5639/O4
Lax pairs, symmetries, symmetry group, exact solution
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/2/020202