Lie reduction and conditional symmetries of some variable coefficient nonlinear wave equations

Ding Jiang Huang; Shui Geng Zhou; Jian Qin Mei; Hong Qing Zhang

doi:10.1088/0253-6102/53/1/01

Lie reduction and conditional symmetries of some variable coefficient nonlinear wave equations

Ding Jiang Huang, Shui Geng Zhou, Jian Qin Mei, Hong Qing Zhang

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

2 Scopus citations

Abstract

Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebras is carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	53
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/53/1/01
State	Published - 2010
Externally published	Yes

Keywords

Conditional symmetry
Exact solutions
Symmetry reduction
Variable-coefficient nonlinear wave equations

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10.1088/0253-6102/53/1/01

Cite this

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title = "Lie reduction and conditional symmetries of some variable coefficient nonlinear wave equations",

abstract = "Lie symmetry reduction of some truly {"}variable coefficient{"} wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebras is carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.",

keywords = "Conditional symmetry, Exact solutions, Symmetry reduction, Variable-coefficient nonlinear wave equations",

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

year = "2010",

doi = "10.1088/0253-6102/53/1/01",

language = "英语",

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AU - Huang, Ding Jiang

AU - Zhou, Shui Geng

AU - Mei, Jian Qin

AU - Zhang, Hong Qing

PY - 2010

Y1 - 2010

N2 - Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebras is carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.

AB - Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebras is carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.

KW - Conditional symmetry

KW - Exact solutions

KW - Symmetry reduction

KW - Variable-coefficient nonlinear wave equations

UR - https://www.scopus.com/pages/publications/74549135735

U2 - 10.1088/0253-6102/53/1/01

DO - 10.1088/0253-6102/53/1/01

M3 - 文章

AN - SCOPUS:74549135735

SN - 0253-6102

VL - 53

SP - 1

EP - 5

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

Lie reduction and conditional symmetries of some variable coefficient nonlinear wave equations

Abstract

Keywords

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