Solitary wave and other solutions for nonlinear heat equations

@article{Nikitin2003SolitaryWA,
  title={Solitary wave and other solutions for nonlinear heat equations},
  author={A. Nikitin and T. Barannyk},
  journal={Central European Journal of Mathematics},
  year={2003},
  volume={2},
  pages={840-858}
}
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity. 
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