Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method | Zendy

Yanqin Liu | Zendy; Limei Yan | Zendy

Open Access

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

Author(s) -

Yanqin Liu,

Limei Yan

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/839613

Subject(s) - mathematics , novikov self consistency principle , fractional calculus , trigonometric functions , mathematical analysis , trigonometry , function (biology) , hyperbolic function , space (punctuation) , simple (philosophy) , pure mathematics , geometry , linguistics , philosophy , evolutionary biology , biology , epistemology

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

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