On the transition from pulled to pushed monotonic fronts of the extended Fisher–Kolmogorov equation
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.
Year of publication: |
2005
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Authors: | Benguria, R.D. ; Depassier, M.C. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 356.2005, 1, p. 61-65
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Publisher: |
Elsevier |
Subject: | Traveling waves | Extended Fisher–Kolmogorov equation | Fronts |
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