Solitary wave and other solutions for nonlinear heat equations

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dc.creatorNikitin, Anatoly G.
dc.creatorBarannyk, Tetyana A.
dc.date2003-03-02
dc.date.accessioned2026-07-07T08:20:01Z
dc.date.available2026-07-07T08:20:01Z
dc.descriptionNew 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.
dc.description18 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/0303004
dc.identifierhttp://arxiv.org/abs/math-ph/0303004
dc.identifierCentral European Journal of Mathematics (CEJM) vol. 2, no. 5, pp. 840-858, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134964
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.subject35K57; 35Q51; 58J70
dc.titleSolitary wave and other solutions for nonlinear heat equations
dc.typetext

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