Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection

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DOI: 10.4236/jamp.2017.52041    1,374 Downloads   2,217 Views  Citations

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.

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Costa, F. and Araujo Pereira, M. (2017) Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection. Journal of Applied Mathematics and Physics, 5, 462-468. doi: 10.4236/jamp.2017.52041.

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