Title of article
Exact solutions in front propagation problems with superdiffusion
Author/Authors
Volpert، نويسنده , , V.A. and Nec، نويسنده , , Y. and Nepomnyashchy، نويسنده , , A.A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
11
From page
134
To page
144
Abstract
Front propagation in a number of reaction–superdiffusion problems is studied. Specifically, traveling wave propagation, domain wall pinning, and systems of waves governed by a bistable single equation as well as FitzHugh–Nagumo equations are considered. The reaction terms in the equations are taken in the form of piecewise linear functions, which allow for exact solutions to be obtained. The effect of superdiffusion on front propagation is discussed.
Keywords
Reaction–diffusion problem , Superdiffusion , Front , Fitzhugh–Nagumo equations , Exact solution
Journal title
Physica D Nonlinear Phenomena
Serial Year
2010
Journal title
Physica D Nonlinear Phenomena
Record number
1726712
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