Displaying similar documents to “Generalized Jacobi elliptic function solution to a class of nonlinear Schrödinger-type 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.