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Symmetry reductions and exact solutions of the affine heat equation. (English) Zbl 1149.35306
Summary: 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.
MSC:
35A30Geometric theory for PDE, characteristics, transformations
58J70Invariance and symmetry properties
35C05Solutions of PDE in closed form
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