Symmetry group classification of variable coefficient mKdV equation

Ding Jiang Huang; Jian Qin Mei; Hong Qing Zhang

Symmetry group classification of variable coefficient mKdV equation

Ding Jiang Huang, Jian Qin Mei, Hong Qing Zhang

Research output: Contribution to journal › Article › peer-review

Abstract

Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is shown that there are four and six inequivalent mKdV-type nonlinear evolution equations admitting one- and two-dimensional solvable Lie algebras, respectively. Furthermore, we prove that there exist no equation admitting three- and higer-dimensional Lie algebras.

Original language	English
Pages (from-to)	947-951
Number of pages	5
Journal	Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology
Volume	35
Issue number	6
State	Published - Dec 2009
Externally published	Yes

Keywords

Abstract Lie algebras
Classical infinitesimal Lie method
Equivalence transformations group
Group classification
Variable coefficient mKdV equation

Cite this

@article{4542b93384da46d2bb7a161046b01c02,

title = "Symmetry group classification of variable coefficient mKdV equation",

abstract = "Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is shown that there are four and six inequivalent mKdV-type nonlinear evolution equations admitting one- and two-dimensional solvable Lie algebras, respectively. Furthermore, we prove that there exist no equation admitting three- and higer-dimensional Lie algebras.",

keywords = "Abstract Lie algebras, Classical infinitesimal Lie method, Equivalence transformations group, Group classification, Variable coefficient mKdV equation",

author = "Huang, \{Ding Jiang\} and Mei, \{Jian Qin\} and Zhang, \{Hong Qing\}",

year = "2009",

month = dec,

language = "英语",

volume = "35",

pages = "947--951",

journal = "Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology",

issn = "1006-3080",

publisher = "East China University of Science and Technology",

number = "6",

}

TY - JOUR

T1 - Symmetry group classification of variable coefficient mKdV equation

AU - Huang, Ding Jiang

AU - Mei, Jian Qin

AU - Zhang, Hong Qing

PY - 2009/12

Y1 - 2009/12

N2 - Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is shown that there are four and six inequivalent mKdV-type nonlinear evolution equations admitting one- and two-dimensional solvable Lie algebras, respectively. Furthermore, we prove that there exist no equation admitting three- and higer-dimensional Lie algebras.

AB - Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is shown that there are four and six inequivalent mKdV-type nonlinear evolution equations admitting one- and two-dimensional solvable Lie algebras, respectively. Furthermore, we prove that there exist no equation admitting three- and higer-dimensional Lie algebras.

KW - Abstract Lie algebras

KW - Classical infinitesimal Lie method

KW - Equivalence transformations group

KW - Group classification

KW - Variable coefficient mKdV equation

UR - https://www.scopus.com/pages/publications/74949084979

M3 - 文章

AN - SCOPUS:74949084979

SN - 1006-3080

VL - 35

SP - 947

EP - 951

JO - Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology

JF - Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology

IS - 6

ER -

Symmetry group classification of variable coefficient mKdV equation

Abstract

Keywords

Other files and links

Fingerprint

Cite this