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Reduction operators and exact solutions of generalized Burgers equations |
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| Authors: | Oleksandr A Pocheketa Roman O Popovych |
| Institution: | 1. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601 Kyiv, Ukraine;2. Wolfgang Pauli Institute, Nordbergstraße 15, A-1090 Wien, Austria |
| Abstract: | Reduction operators of generalized Burgers equations are studied. A connection between these equations and potential fast diffusion equations with power nonlinearity of degree −1 via reduction operators is established. Exact solutions of generalized Burgers equations are constructed using this connection and known solutions of the constant-coefficient potential fast diffusion equation. |
| Keywords: | Nonclassical symmetry Conditional symmetry Reduction operator Generalized Burgers equations Equivalence transformation Exact solution Equivalence group Fast diffusion equations |
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