title: Wave-front dynamics in systems with directional anomalous diffusion.
abstract: In this paper we study the solutions of a generalized reaction-diffusion system with a bistable reaction term, and considering directional anomalous diffusion. We use the well-known properties of fractional derivatives to model asymmetric anomalous diffusion, and obtain traveling wave solutions that propagate in a direction that depends on the metastability of the front, the fractional exponent and the asymmetry of the diffusion.
authors.affiliation: Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Mexico.
authors.forename: D
authors.initials: D
authors.lastname: Hernández
authors.forename: R
authors.initials: R
authors.lastname: Barrio
authors.forename: C
authors.initials: C
authors.lastname: Varea