Lie Reduction and Conditional Symmetries of Some Variable Coefficient Nonlinear Wave Equations

被引：0

作者：

Huang Ding-Jiang ^{[1
,2
,3
]}

Zhou Shui-Geng ^{[1
,2
]}

Mei Jian-Qin ^{[4
]}

Zhang Hong-Qing ^{[4
]}

机构：

[1] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

[3] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 01期

基金：

中国国家自然科学基金;

关键词：

symmetry reduction; conditional symmetry; exact solutions; variable-coefficient nonlinear wave equations; LINEAR DIFFUSION-EQUATIONS; GROUP CLASSIFICATION; DIFFERENTIAL-EQUATIONS; SEPARATION; PROPAGATION; SYSTEMS; HEAT;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 algebrasis 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.

引用

页码：1 / 5

页数：5

共 50 条

[1] Lie Reduction and Conditional Symmetries of Some Variable Coefficient Nonlinear Wave Equations
黄定江
周水庚
梅建琴
张鸿庆
Communications in Theoretical Physics, 2010, 53 (01) : 1 - 5
[2] Conditional Lie-Backlund symmetries to inhomogeneous nonlinear diffusion equations
Di, Yanmei
Zhang, Danda
Shen, Shoufeng
Zhang, Jun
APPLIED MATHEMATICAL MODELLING, 2014, 38 (17-18) : 4409 - 4416
[3] Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities
Huang, Dingjiang
Zhu, Yan
Yang, Qinmin
SYMMETRY-BASEL, 2017, 9 (01):
[4] Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
Liu, Hanze
Yue, Chao
NONLINEAR DYNAMICS, 2017, 89 (03) : 1989 - 2000
[5] Conditional Lie-Backlund symmetries and concavity of solutions to nonlinear parabolic equations
Qu, Changzheng
Shen, Shoufeng
Zhang, Shunli
NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2010, 1212 : 219 - 230
[6] Conditional Lie-Backlund symmetries and solutions of inhomogeneous nonlinear diffusion equations
Ji, Lina
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (24) : 5655 - 5661
[7] Conditional Lie-Backlund symmetries and functionally separable solutions of the generalized inhomogeneous nonlinear diffusion equations
Feng, Wei
Ji, Lina
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (04) : 618 - 627
[8] Conditional Lie-Backlund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source
Song, Junquan
Ye, Yujian
Zhang, Danda
Zhang, Jun
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9] Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations
Ji, Lina
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 440 (01) : 286 - 299
[10] Lie symmetries and exact solutions of variable coefficient mKdV equations: An equivalence based approach
Vaneeva, Olena
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) : 611 - 618

← 1 2 3 4 5 →