Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source: Conditional Lie-Bäcklund Symmetries and Invariant Subspaces
作者： Lina Ji , Changzheng Qu
DOI: 10.1111/SAPM.12010
关键词: Separable space 、 Pure mathematics 、 Invariant subspace 、 Mathematics 、 Mathematical analysis 、 Convection 、 Canonical form 、 Linear subspace 、 Invariant (mathematics) 、 Homogeneous space 、 Dynamical systems theory
摘要: The conditional Lie–Backlund symmetry method is used to study the invariant subspace of nonlinear diffusion equations with convection and source terms. We obtain a complete list canonical forms for such which admit higher order symmetries multidimensional subspaces. functionally generalized separable solutions resulting are constructed due corresponding reductions. For most cases, they reduced solving finite-dimensional dynamical systems.
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