非齐次非线性扩散方程的三阶条件Lie-Backlund对称和微分约束  

Third-order Conditional Lie-Backlund Symmetries and Differential Constraits of Inhomogeneous Nonlinear Diffusion Equations

作　　者：孙成金[1] 张建军[1] 汪松玉[1] SUN Chengjin ZHANG Jianjun WANG Songyu(College of Information and Management , Henan Agricultural University, Zhengzhou 450002, Chin)

机构地区：[1]河南农业大学信息与管理科学学院,河南郑州450002

出　　处：《郑州大学学报（理学版）》2016年第4期20-22,共3页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金联合基金资助项目(U1204104);河南省高等学校重点科研基金资助项目(15A110028);河南省教育厅重点基金资助项目(13A210485)

摘　　要：运用线性决定方程方法研究了非齐次非线性扩散方程.给出了允许三阶条件Lie-B?cklund对称和微分约束的非齐次非线性扩散方程,通过基于不变曲面条件和方程相容性的对称约化,得到所得方程的精确解.The inhomogeneous nonlinear diffusion equations were studied by using the method of linear determining equations. The inhomogeneous nonlinear diffusion equations, which admit of third-order con-ditional-Lie-B？cklund symmetries and differential constraints were identified. As a consequence, the ex-act solutions of the resulting equations were constructed through symmetry reductions due to the compati-bilities of the invariant surface condition and the governing equation.

关 键 词：非齐次非线性扩散方程 条件Lie-Backlund对称 微分约束 线性决定方程 

分 类 号：O175.29[理学—数学]