On the existence of monotonic fronts for a class of physical problems described by the equation $λu''' + u' = f(u)$

Details On the existence of monotonic fronts for a class of physical problems described by the equation $λu''' + u' = f(u)$ On the existence of monotonic fronts for a class of physical problems described by the equation $λu''' + u' = f(u)$

1993-11-04

arxiv.org/abs/patt-sol/9310007v1

J. Physics A: Math. Gen., 27 (1994) 1339

Nonlinear Sciences

Pattern Formation and Solitons

Latex manuscript, 10 pages, 2 figures available on request from mcdepass@lascar.puc.cl

Scientific paper

10.1088/0305-4470/27/4/027

We obtain an upper bound on the value of $\lambda$ for which monotonic front
solutions of the equation $\lambda u''' + u' = f(u)$ with $\lambda > 0$ may
exist.

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