4 papers · 1 filter
The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation
R. D. Benguria, M. C. Depassier, V. Haikala
We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction diffusion equation when a small cutoff is applied at the unstable or metastable eq…
Evolution equation for bidirectional surface waves in a convecting fluid
M. C. Depassier
Surface waves in a heated viscous fluid exhibit a long wave oscillatory instability. The nonlinear evolution of unidirectional waves is known to be described by a modified Korteweg…
On the principal bifurcation branch of a third order nonlinear long-wave equation
R. D. Benguria, M. C. Depassier
We study the principal bifurcation curve of a third order equation which describes the nonlinear evolution of several systems with a long--wavelength instability. We show that the…
Validity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation
R. D. Benguria, M. C. Depassier
The extended Fisher Kolmogorov equation with arbitrary positive , satisfying , has monotonic traveling fronts for .…