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, 1-7

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:839613

DOI: 10.1155/2013/839613

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