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Aydın, Zeynep, Taşcan, Filiz. (1403). Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations. سامانه مدیریت نشریات علمی, 13(2), 608-617. doi: 10.22034/cmde.2024.60001.2558
Zeynep Aydın; Filiz Taşcan. "Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations". سامانه مدیریت نشریات علمی, 13, 2, 1403, 608-617. doi: 10.22034/cmde.2024.60001.2558
Aydın, Zeynep, Taşcan, Filiz. (1403). 'Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations', سامانه مدیریت نشریات علمی, 13(2), pp. 608-617. doi: 10.22034/cmde.2024.60001.2558
Aydın, Zeynep, Taşcan, Filiz. Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations. سامانه مدیریت نشریات علمی, 1403; 13(2): 608-617. doi: 10.22034/cmde.2024.60001.2558

Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations

Computational Methods for Differential Equations
مقاله 18، دوره 13، شماره 2، خرداد 2025، صفحه 608-617    اصل مقاله (1019.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60001.2558
نویسندگان
Zeynep Aydın* ؛ Filiz Taşcan
Faculty of Science, Department of Mathematics and Computer, Eskisehir Osmangazi University, Eskisehir, Turkey.
چکیده
In this article, with the help of the new Kudryashov method, we examine general solutions to the (2+1)-dimensional Sawada-Kotera equation (SKE) and Kaup-Kupershmidt (KK) equation. Using Maple, a symbolic computing application, it was shown that all obtained solutions are given by hyperbolic, exponential and logaritmic function solutions which obtained solutions are useful for fluid dynamics, optics and so on. Finally, we have presented some graphs for general solutions of these equations with special parameter values. The reliability and scope of programming provide eclectic applicability to high-dimensional nonlinear evolution equations for the development of this method. The results found gave us important information regarding the applicability of the new Kudryashov method.
کلیدواژه‌ها
Exact solutions؛ Travelling wave solutions؛ Nonlinear partial differential equations
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