Solitary wave and other solutions for nonlinear heat equations

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New exact solutions for the heat equation with a polynomial non-linearity and for the Fisher equation are found. An extended class of non-linear heat equations admitting solitary wave solutions is found. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
18 pages, LaTeX2e

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Mathematical Physics, Analysis of PDEs, Exactly Solvable and Integrable Systems, 35K57; 35Q51; 58J70

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http://salesiana.dossiersoluciones.com/handle/123456789/134964

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0303004
 http://arxiv.org/abs/math-ph/0303004
 Central European Journal of Mathematics (CEJM) vol. 2, no. 5, pp. 840-858, 2004.

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arXiv