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An efficient technique for higher order fractional differential equation

In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text] -expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equatio...

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Detalles Bibliográficos
Autores principales: Ali, Ayyaz, Iqbal, Muhammad Asad, UL-Hassan, Qazi Mahmood, Ahmad, Jamshad, Mohyud-Din, Syed Tauseef
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779450/
https://www.ncbi.nlm.nih.gov/pubmed/27047707
http://dx.doi.org/10.1186/s40064-016-1905-2
Descripción
Sumario:In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text] -expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The solitary wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. Graphical representations along with the numerical data reinforce the efficacy of the used procedure. The specified idea is very effective, expedient for fractional PDEs, and could be extended to other physical problems.