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https://hdl.handle.net/11499/52069
Title: | Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation | Authors: | Varol, Dilek | Keywords: | Jacobi elliptic function expansion method fractional partial differential equation extended Kawahara equation Modified Kdv Equation De-Vries Equations Conformable Time Expansion Method |
Publisher: | MDPI | Abstract: | The extended Kawahara (Gardner Kawahara) equation is the improved form of the Korteweg-de Vries (KdV) equation, which is one of the most significant nonlinear evolution equations in mathematical physics. In that research, the analytical solutions of the conformable fractional extended Kawahara equation were acquired by utilizing the Jacobi elliptic function expansion method. The given expansion method was applied to different fractional forms of the extended Kawahara equation, such as the fraction that occurs in time, space, or both time and space by suitably changing the variables. In addition, various types of fractional problems are exhibited to expose the realistic application of the given method, and some of the obtained solutions were illustrated in two- or three-dimensional graphics as proof of the visualization. | URI: | https://hdl.handle.net/11499/52069 https://doi.org/10.3390/fractalfract7070539 |
ISSN: | 2504-3110 |
Appears in Collections: | Fen Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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fractalfract-07-00539-v2.pdf | 13.4 MB | Adobe PDF | View/Open |
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