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Symmetry reductions and exact solutions of the affine heat equation |
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| Authors: | Changzheng Qu Qing Huang |
| Institution: | a Department of Mathematics, Northwest University, Xi'an 710069, PR China b Center for Nonlinear Studies, Northwest University, Xi'an 710069, PR China c Institute of Modern Physics, Northwest University, Xi'an 710069, PR China |
| Abstract: | Lie symmetry group method is applied to study the affine heat equation for surface. Its symmetry groups and corresponding optimal systems are determined, and group-invariant solutions associated to the symmetries are obtained and classified. |
| Keywords: | Affine heat equation Lie symmetry Optimal system Group-invariant solution |
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