Complexiton solutions for two nonlinear partial differential equations via modification of simplified Hirota method |
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| Authors: | Ömer Ünsal Ahmet Bekir Filiz Ta?can Mehmet Naci Özer |
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| Institution: | Department of Mathematics – Computer, Eski?ehir Osmangazi University, Eski?ehir, Turkey. |
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| Abstract: | In this study, we obtain complexiton solutions of Sawada–Kotera equation and ninth-order KdV equation. For this cause, we employ Wazwaz and Zhaqilao’s method which can be regarded as generalization of simplified Hirota method through extension real parameters into complex parameters. Special conditions to distinguish complexiton, soliton, and soliton–complexiton interaction solutions from each other are given. |
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