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.
作者
孙成金
张建军
汪松玉
SUN Chengjin ZHANG Jianjun WANG Songyu(College of Information and Management , Henan Agricultural University, Zhengzhou 450002, Chin)
出处
《郑州大学学报（理学版）》
CAS
北大核心
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)
