Displaying similar documents to “Painlevé analysis of a class of nonlinear diffusion equations.”

Solitary wave and other solutions for nonlinear heat equations

Anatoly Nikitin, Tetyana Barannyk (2004)

Open Mathematics

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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.

Nonlinear transmission problems.

Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)

Memoirs on Differential Equations and Mathematical Physics

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