Equivalent transformations and higher-dimensional invariant subspaces of generalized inhomogeneous nonlinear diffusion equations. (Chinese. English summary) Zbl 1340.35161
Summary: Equations equivalent to the generalized inhomogeneous nonlinear diffusion equations are given by the pressure transformations and equivalent transformations related to the invariant subspace method. Higher-dimensional invariant subspaces of equivalent equations are obtained. From this, the generalized separable variables solutions of the generalized inhomogeneous nonlinear diffusion equations are constructed. Some examples are presented to illustrate the procedure.
MSC:
| 35K57 | Reaction-diffusion equations |
| 35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
| 35A25 | Other special methods applied to PDEs |
