Wave-front dynamics in systems with directional anomalous diffusion.
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.
Hernández
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Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Mexico.
Barrio
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Varea
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