title: Nonlinear waves in reaction-diffusion systems: the effect of transport memory
abstract: Motivated by the problem of determining stress distributions in granular materials, we study the effect of finite transport correlation times on the propagation of nonlinear wave fronts in reaction-diffusion systems. We obtain results such as the possibility of spatial oscillations in the wave-front shape for certain values of the system parameters and high enough wave-front speeds. We also generalize earlier known results concerning the minimum wave-front speed and shape-speed relationships stemming from the finiteness of the correlation times. Analytic investigations are made possible by a piecewise linear representation of the nonlinearity.
authors.affiliation: Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
authors.initials: KK
authors.lastname: Manne
authors.initials: AJ
authors.lastname: Hurd
authors.initials: VM
authors.lastname: Kenkre