Reduction operators and exact solutions of generalized Burgers equations

@inproceedings{Pocheketa2012ReductionOA,
  title={Reduction operators and exact solutions of generalized Burgers equations},
  author={Oleksandr A. Pocheketa and Roman O. Popovych},
  year={2012}
}
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. 
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