Solutions of Fractional Konopelchenko‐Dubrovsky and Nizhnik‐Novikov‐Veselov Equations Using a Generalized Fractional Subequation Method

Yanqin Liu and Limei Yan

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed. This method is applied to the space‐time fractional coupled Konopelchenko‐Dubrovsky equations and Nizhnik‐Novikov‐Veselov equations. As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.

Date: 2013
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https://doi.org/10.1155/2013/839613

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:839613

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