TITLE:
Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection
AUTHORS:
Felix Silva Costa, Marta Raquel Araujo Pereira
KEYWORDS:
Fractional Convection-Diffusion, Riesz Derivative, Travelling Wave, Wavefront
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
24,
2017
ABSTRACT: In this paper we investigate anomalous diffusion coupled with linear convection, using fractional calculus to describe the anomalous associated memory effects in diffusive term. We get an explicit travelling wave solution, wavefront, with finite propagation. We comment the properties of the solution, including the stationary case.