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arXiv · 1306.1942

Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method

P. Artale Harris·R. Garra
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Abstract

In this paper we study the analytic solutions of Burgers-type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equations directly related to the time-fractional Burgers equation. Some generalizations linked to the forced time-fractional Burgers equations and variable-coefficient diffusion are also considered. Finally we study a Burgers-type equation involving both space and time-fractional derivatives.

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P. Artale Harris, R. Garra. 2013-06-08. Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. https://arxiv.org/abs/1306.1942

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