Conditional Lie-Backlund symmetries to inhomogeneous nonlinear diffusion equations

被引：0
|
作者：
Di, Yanmei [1 ]
Zhang, Danda [1 ]
Shen, Shoufeng [1 ]
Zhang, Jun [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 17-18期
基金：
中国国家自然科学基金;
关键词：
Conditional Lie-Backlund symmetry; Invariant subspace; Nonlinear diffusion equation; Finite-dimensional dynamical system; BOUSSINESQ EQUATION; DIFFERENTIAL-EQUATIONS; SIMILARITY REDUCTIONS; POTENTIAL SYMMETRIES; GROUP CLASSIFICATION; CONVECTION; ABSORPTION;
D O I：
10.1016/j.apm.2014.02.020
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, conditional Lie-Backlund symmetry method is used to classify a class of inhomogeneous nonlinear diffusion equations u(t) = e(-qx)(e(px)w(u)u(x))(x). Equations admitted conditional Lie-Backlund symmetries can be either solved exactly or reduced to finite-dimensional dynamical systems. A number of concrete examples defined on the exponential and trigonometric invariant subspaces are considered to illustrate this method. (C) 2014 Elsevier Inc. All rights reserved.
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页码：4409 / 4416
页数：8
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