Homotopy perturbation method for fractional-order Burgers-Poisson equation

Details Homotopy perturbation method for fractional-order Burgers-Poisson equation Homotopy perturbation method for fractional-order Burgers-Poisson equation

2010-03-09

arxiv.org/abs/1003.1828v1

Nonlinear Sciences

Pattern Formation and Solitons

9 pages, 1 table

Scientific paper

In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit solutions are obtained by employing homotopy perturbation method. The numerical results reveal that the proposed method is very effective and simple for handling fractional-order differential equations.

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