Applications of the lie algebra gl(2)

Yufeng Zhang; Honwah Tam

doi:10.1142/S0217984909019922

Applications of the lie algebra gl(2)

Yufeng Zhang^*, Honwah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

With the help of a subalgebra of the Lie algebra gl(2) (still denoted by gl(2)), a non-isospectral evolution-equation hierarchy is obtained, whose reduction is similar to that given by Li. Employing the Lie algebra gl(2) again, we work out nonlinear evolution equations with exponential terms and produce their Bäcklund Transformation as well as some exact solutions.

Original language	English
Pages (from-to)	1763-1770
Number of pages	8
Journal	Modern Physics Letters B
Volume	23
Issue number	14
DOIs	https://doi.org/10.1142/S0217984909019922
Publication status	Published - 10 Jun 2009

User-Defined Keywords

Evolution equation
Exact solution
Lie algebra

Access to Document

10.1142/S0217984909019922

Cite this

@article{7b4f7d39a3a74e969a63e3ee5f680ee4,

title = "Applications of the lie algebra gl(2)",

abstract = "With the help of a subalgebra of the Lie algebra gl(2) (still denoted by gl(2)), a non-isospectral evolution-equation hierarchy is obtained, whose reduction is similar to that given by Li. Employing the Lie algebra gl(2) again, we work out nonlinear evolution equations with exponential terms and produce their B{\"a}cklund Transformation as well as some exact solutions.",

keywords = "Evolution equation, Exact solution, Lie algebra",

author = "Yufeng Zhang and Honwah Tam",

year = "2009",

month = jun,

day = "10",

doi = "10.1142/S0217984909019922",

language = "English",

volume = "23",

pages = "1763--1770",

journal = "Modern Physics Letters B",

issn = "0217-9849",

publisher = "World Scientific",

number = "14",

}

TY - JOUR

T1 - Applications of the lie algebra gl(2)

AU - Zhang, Yufeng

AU - Tam, Honwah

PY - 2009/6/10

Y1 - 2009/6/10

N2 - With the help of a subalgebra of the Lie algebra gl(2) (still denoted by gl(2)), a non-isospectral evolution-equation hierarchy is obtained, whose reduction is similar to that given by Li. Employing the Lie algebra gl(2) again, we work out nonlinear evolution equations with exponential terms and produce their Bäcklund Transformation as well as some exact solutions.

AB - With the help of a subalgebra of the Lie algebra gl(2) (still denoted by gl(2)), a non-isospectral evolution-equation hierarchy is obtained, whose reduction is similar to that given by Li. Employing the Lie algebra gl(2) again, we work out nonlinear evolution equations with exponential terms and produce their Bäcklund Transformation as well as some exact solutions.

KW - Evolution equation

KW - Exact solution

KW - Lie algebra

UR - http://www.scopus.com/inward/record.url?scp=68049143178&partnerID=8YFLogxK

U2 - 10.1142/S0217984909019922

DO - 10.1142/S0217984909019922

M3 - Journal article

AN - SCOPUS:68049143178

SN - 0217-9849

VL - 23

SP - 1763

EP - 1770

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 14

ER -

Applications of the lie algebra gl(2)

Abstract

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this