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2004 | 2 | 5 | 840-858
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Solitary wave and other solutions for nonlinear heat equations

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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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  • National Academy of Sciences
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