Reduction operators and exact solutions of generalized Burgers equations
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🧮 math-ph
math.APmath.MP
keywords
equationsburgersgeneralizedoperatorsreductionsolutionsconnectiondiffusion
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Reduction operators of generalized Burgers equations are studied. A connection between these equations and potential fast diffusion equations with power nonlinearity -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.
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