Conditional Lie–Bäcklund symmetries and invariant subspaces to nonlinear diffusion equations with source
Conditional Lie–Bäcklund symmetries and invariant subspaces to nonlinear diffusion equations with source
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DOI：
10.1016/j.physa.2012.06.040
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发表时间：
2012-12
影响因子：
3.3
通讯作者：
Lina Ji
中科院分区：
文献类型：
--
作者：
Lina Ji
本文考虑带源的径向对称非线性扩散方程的条件 Lie-Bäcklund 对称性。我们获得了此类方程的规范形式的完整列表，这些方程承认高阶条件对称性。因此，所得方程的解是在相应方程所允许的不变子空间上构造的。
This paper considers conditional Lie–Bäcklund symmetries of the radially symmetric nonlinear diffusion equations with source. We obtain a complete list of canonical forms for such equations which admit higher-order conditional symmetries. As a consequence, the solutions of the resulting equations are constructed on the invariant subspaces admitted by the corresponding equations.