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

^*此作品的通讯作者

Fudan University
East China University of Science and Technology
Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1-5
页数	5
期刊	Communications in Theoretical Physics
卷	53
期	1
DOI	https://doi.org/10.1088/0253-6102/53/1/01
出版状态	已出版 - 2010
已对外发布	是

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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",

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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

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ER -

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

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