三阶非线性扩散方程的条件Lie-Bcklund对称

Conditional Lie-Bcklund symmetry for third order nonlinear diffusion equations

目的研究一类在数学物理中具有重要意义的三阶非线性扩散方程。方法运用条件Lie-Bcklund对称方法。结果三阶非线性扩散方程可进行完全分类。结论得到了三阶非线性扩散方程的更丰富的精确解。

Aim To study one kind of third order nonlinear diffusion equations which has a wide application in mathematical physics. Methods Conditional LieBacklund symmetry methods. Results A complete classification for the kinds of third order nonlinear diffusion equations is obtained. Conclusion More abundant exact solutions of the kind of third order nonlinear diffusion equation are obtained.