New analytic solutions of some fourth-order nonlinear space-time fractional partial differential equations by G' / G -expansion method

Autor: Sirasrete Phoosree, Settapat Chinviriyasit
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Songklanakarin Journal of Science and Technology (SJST), Vol 43, Iss 3, Pp 795-801 (2021)
Druh dokumentu: article
ISSN: 0125-3395
DOI: 10.14456/sjst-psu.2021.105
Popis: The exact traveling wave solutions of the space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) water equation are investigated. Transforming the space-time fractional EMC and the space-time fractional AKNS water equations by the Jumarie's Riemann-Liouville derivative, nonlinear ordinary differential equations (ODEs) are achived. It is observed that the G' / G -expansion method is valid and reliable for solving some nonlinear fractional PDEs. Applying the G' / G -expansion method, the solutions of EMC and AKNS water equations are obtained in terms of hyperbolic functions, trigonometric functions and rational functions.
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