On the transition from pulled to pushed monotonic fronts of the extended Fisher–Kolmogorov equation

R.D. Benguria and M.C. Depassier

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 61-65

Abstract: The extended Fisher–Kolmogorov equation ut=uxx-γuxxxx+f(u) with arbitrary positive f(u), satisfying f(0)=f(1)=0, has monotonic traveling fronts for γ<112. We find a simple lower bound on the speed of the fronts which allows to determine, for a given reaction term, when will the front of minimal speed be pushed.

Keywords: Traveling waves; Extended Fisher–Kolmogorov equation; Fronts (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:61-65

DOI: 10.1016/j.physa.2005.05.013

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