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New analytic solutions of some fourth-order nonlinear space-timefractional partial differential equations byG G๏ข / -expansion method |
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| รหัสดีโอไอ | |
| Creator | 1. Sirasrete Phoosree 2. Settapat Chinviriyasit |
| Title | New analytic solutions of some fourth-order nonlinear space-timefractional partial differential equations byG G๏ข / -expansion method |
| Publisher | Research and Development Office,Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 3 |
| Page no. | 795-801 |
| Keyword | G G๏ข / -expansion method, fractional partial differential equations, fractional Estevez-Mansfield-Clarkson equation, fractional Ablowitz-Kaup-Newell-Segur water equation, analytic solution |
| URL Website | https://rdo.psu.ac.th/sjstweb/ |
| ISSN | 0125-3395 |
| Abstract | The exact traveling wave solutions of the space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and thespace-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) water equation are investigated. Transforming the space-timefractional EMC and the space-time fractional AKNS water equations by the Jumarie's Riemann-Liouville derivative, nonlinearordinary differential equations (ODEs) are achived. It is observed that theG G๏ข / -expansion method is valid and reliable forsolving some nonlinear fractional PDEs. Applying theG G๏ข / -expansion method, the solutions of EMC and AKNS waterequations are obtained in terms of hyperbolic functions, trigonometric functions and rational functions. |
